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Simplifying -4(x + -4) + -8 = 5(x + 7) Reorder the terms: -4(-4 + x) + -8 = 5(x + 7) (-4 * -4 + x * -4) + -8 = 5(x + 7) (16 + -4x) + -8 = 5(x + 7) Reorder the terms: 16 + -8 + -4x = 5(x + 7) Combine like terms: 16 + -8 = 8 8 + -4x = 5(x + 7) Reorder the terms: 8 + -4x = 5(7 + x) 8 + -4x = (7 * 5 + x * 5) 8 + -4x = (35 + 5x) Solving 8 + -4x = 35 + 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 + -4x + -5x = 35 + 5x + -5x Combine like terms: -4x + -5x = -9x 8 + -9x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -9x = 35 + 0 8 + -9x = 35 Add '-8' to each side of the equation. 8 + -8 + -9x = 35 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 35 + -8 -9x = 35 + -8 Combine like terms: 35 + -8 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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