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Simplifying -3x + -8(x + 1) = -2(5x + 6) Reorder the terms: -3x + -8(1 + x) = -2(5x + 6) -3x + (1 * -8 + x * -8) = -2(5x + 6) -3x + (-8 + -8x) = -2(5x + 6) Reorder the terms: -8 + -3x + -8x = -2(5x + 6) Combine like terms: -3x + -8x = -11x -8 + -11x = -2(5x + 6) Reorder the terms: -8 + -11x = -2(6 + 5x) -8 + -11x = (6 * -2 + 5x * -2) -8 + -11x = (-12 + -10x) Solving -8 + -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. -8 + -11x + 10x = -12 + -10x + 10x Combine like terms: -11x + 10x = -1x -8 + -1x = -12 + -10x + 10x Combine like terms: -10x + 10x = 0 -8 + -1x = -12 + 0 -8 + -1x = -12 Add '8' to each side of the equation. -8 + 8 + -1x = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -12 + 8 -1x = -12 + 8 Combine like terms: -12 + 8 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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