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Simplifying -4(x + 1) + -1x + -8 = 5(x + 5) + 13 Reorder the terms: -4(1 + x) + -1x + -8 = 5(x + 5) + 13 (1 * -4 + x * -4) + -1x + -8 = 5(x + 5) + 13 (-4 + -4x) + -1x + -8 = 5(x + 5) + 13 Reorder the terms: -4 + -8 + -4x + -1x = 5(x + 5) + 13 Combine like terms: -4 + -8 = -12 -12 + -4x + -1x = 5(x + 5) + 13 Combine like terms: -4x + -1x = -5x -12 + -5x = 5(x + 5) + 13 Reorder the terms: -12 + -5x = 5(5 + x) + 13 -12 + -5x = (5 * 5 + x * 5) + 13 -12 + -5x = (25 + 5x) + 13 Reorder the terms: -12 + -5x = 25 + 13 + 5x Combine like terms: 25 + 13 = 38 -12 + -5x = 38 + 5x Solving -12 + -5x = 38 + 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. -12 + -5x + -5x = 38 + 5x + -5x Combine like terms: -5x + -5x = -10x -12 + -10x = 38 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -10x = 38 + 0 -12 + -10x = 38 Add '12' to each side of the equation. -12 + 12 + -10x = 38 + 12 Combine like terms: -12 + 12 = 0 0 + -10x = 38 + 12 -10x = 38 + 12 Combine like terms: 38 + 12 = 50 -10x = 50 Divide each side by '-10'. x = -5 Simplifying x = -5
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