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Simplifying -8(x + 1) = 5(x + -12) Reorder the terms: -8(1 + x) = 5(x + -12) (1 * -8 + x * -8) = 5(x + -12) (-8 + -8x) = 5(x + -12) Reorder the terms: -8 + -8x = 5(-12 + x) -8 + -8x = (-12 * 5 + x * 5) -8 + -8x = (-60 + 5x) Solving -8 + -8x = -60 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + -8x + -5x = -60 + 5x + -5x Combine like terms: -8x + -5x = -13x -8 + -13x = -60 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -13x = -60 + 0 -8 + -13x = -60 Add '8' to each side of the equation. -8 + 8 + -13x = -60 + 8 Combine like terms: -8 + 8 = 0 0 + -13x = -60 + 8 -13x = -60 + 8 Combine like terms: -60 + 8 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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