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Simplifying -2x + -9(x + 1) = -2(5x + 6) Reorder the terms: -2x + -9(1 + x) = -2(5x + 6) -2x + (1 * -9 + x * -9) = -2(5x + 6) -2x + (-9 + -9x) = -2(5x + 6) Reorder the terms: -9 + -2x + -9x = -2(5x + 6) Combine like terms: -2x + -9x = -11x -9 + -11x = -2(5x + 6) Reorder the terms: -9 + -11x = -2(6 + 5x) -9 + -11x = (6 * -2 + 5x * -2) -9 + -11x = (-12 + -10x) Solving -9 + -11x = -12 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -9 + -11x + 10x = -12 + -10x + 10x Combine like terms: -11x + 10x = -1x -9 + -1x = -12 + -10x + 10x Combine like terms: -10x + 10x = 0 -9 + -1x = -12 + 0 -9 + -1x = -12 Add '9' to each side of the equation. -9 + 9 + -1x = -12 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -12 + 9 -1x = -12 + 9 Combine like terms: -12 + 9 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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