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Simplifying 0.9(3x + 6) = 2.4 + -1(x + -3) Reorder the terms: 0.9(6 + 3x) = 2.4 + -1(x + -3) (6 * 0.9 + 3x * 0.9) = 2.4 + -1(x + -3) (5.4 + 2.7x) = 2.4 + -1(x + -3) Reorder the terms: 5.4 + 2.7x = 2.4 + -1(-3 + x) 5.4 + 2.7x = 2.4 + (-3 * -1 + x * -1) 5.4 + 2.7x = 2.4 + (3 + -1x) Combine like terms: 2.4 + 3 = 5.4 5.4 + 2.7x = 5.4 + -1x Add '-5.4' to each side of the equation. 5.4 + -5.4 + 2.7x = 5.4 + -5.4 + -1x Combine like terms: 5.4 + -5.4 = 0.0 0.0 + 2.7x = 5.4 + -5.4 + -1x 2.7x = 5.4 + -5.4 + -1x Combine like terms: 5.4 + -5.4 = 0.0 2.7x = 0.0 + -1x 2.7x = -1x Solving 2.7x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2.7x + x = -1x + x Combine like terms: 2.7x + x = 3.7x 3.7x = -1x + x Combine like terms: -1x + x = 0 3.7x = 0 Divide each side by '3.7'. x = 0 Simplifying x = 0
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