(a)
Solve: 1.2x +3.6 = 2.4x + 6
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Given, 1.2x+ 3.6 = 2.4x+6
=> x = -2
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Simplifying 1.2x + -3.6 = 2.4 + -0.3 Reorder the terms: -3.6 + 1.2x = 2.4 + -0.3 Combine like terms: 2.4 + -0.3 = 2.1 -3.6 + 1.2x = 2.1 Solving -3.6 + 1.2x = 2.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.6' to each side of the equation. -3.6 + 3.6 + 1.2x = 2.1 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 1.2x = 2.1 + 3.6 1.2x = 2.1 + 3.6 Combine like terms: 2.1 + 3.6 = 5.7 1.2x = 5.7 Divide each side by '1.2'. x = 4.75 Simplifying x = 4.75
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