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Simplifying 5(-2x + 2) = -3(6x + 9) + 7x Reorder the terms: 5(2 + -2x) = -3(6x + 9) + 7x (2 * 5 + -2x * 5) = -3(6x + 9) + 7x (10 + -10x) = -3(6x + 9) + 7x Reorder the terms: 10 + -10x = -3(9 + 6x) + 7x 10 + -10x = (9 * -3 + 6x * -3) + 7x 10 + -10x = (-27 + -18x) + 7x Combine like terms: -18x + 7x = -11x 10 + -10x = -27 + -11x Solving 10 + -10x = -27 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 10 + -10x + 11x = -27 + -11x + 11x Combine like terms: -10x + 11x = 1x 10 + 1x = -27 + -11x + 11x Combine like terms: -11x + 11x = 0 10 + 1x = -27 + 0 10 + 1x = -27 Add '-10' to each side of the equation. 10 + -10 + 1x = -27 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = -27 + -10 1x = -27 + -10 Combine like terms: -27 + -10 = -37 1x = -37 Divide each side by '1'. x = -37 Simplifying x = -37
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