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Simplifying -3(6x + 6) + -2(6 + -14x) = 3(5 + 3x) Reorder the terms: -3(6 + 6x) + -2(6 + -14x) = 3(5 + 3x) (6 * -3 + 6x * -3) + -2(6 + -14x) = 3(5 + 3x) (-18 + -18x) + -2(6 + -14x) = 3(5 + 3x) -18 + -18x + (6 * -2 + -14x * -2) = 3(5 + 3x) -18 + -18x + (-12 + 28x) = 3(5 + 3x) Reorder the terms: -18 + -12 + -18x + 28x = 3(5 + 3x) Combine like terms: -18 + -12 = -30 -30 + -18x + 28x = 3(5 + 3x) Combine like terms: -18x + 28x = 10x -30 + 10x = 3(5 + 3x) -30 + 10x = (5 * 3 + 3x * 3) -30 + 10x = (15 + 9x) Solving -30 + 10x = 15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -30 + 10x + -9x = 15 + 9x + -9x Combine like terms: 10x + -9x = 1x -30 + 1x = 15 + 9x + -9x Combine like terms: 9x + -9x = 0 -30 + 1x = 15 + 0 -30 + 1x = 15 Add '30' to each side of the equation. -30 + 30 + 1x = 15 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = 15 + 30 1x = 15 + 30 Combine like terms: 15 + 30 = 45 1x = 45 Divide each side by '1'. x = 45 Simplifying x = 45
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