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Simplifying -10x + 3(6 + -6x) = 3(-9x + 3) -10x + (6 * 3 + -6x * 3) = 3(-9x + 3) -10x + (18 + -18x) = 3(-9x + 3) Reorder the terms: 18 + -10x + -18x = 3(-9x + 3) Combine like terms: -10x + -18x = -28x 18 + -28x = 3(-9x + 3) Reorder the terms: 18 + -28x = 3(3 + -9x) 18 + -28x = (3 * 3 + -9x * 3) 18 + -28x = (9 + -27x) Solving 18 + -28x = 9 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 18 + -28x + 27x = 9 + -27x + 27x Combine like terms: -28x + 27x = -1x 18 + -1x = 9 + -27x + 27x Combine like terms: -27x + 27x = 0 18 + -1x = 9 + 0 18 + -1x = 9 Add '-18' to each side of the equation. 18 + -18 + -1x = 9 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 9 + -18 -1x = 9 + -18 Combine like terms: 9 + -18 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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