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Simplifying -5(x + -7) = 4(x + 4) + -8 Reorder the terms: -5(-7 + x) = 4(x + 4) + -8 (-7 * -5 + x * -5) = 4(x + 4) + -8 (35 + -5x) = 4(x + 4) + -8 Reorder the terms: 35 + -5x = 4(4 + x) + -8 35 + -5x = (4 * 4 + x * 4) + -8 35 + -5x = (16 + 4x) + -8 Reorder the terms: 35 + -5x = 16 + -8 + 4x Combine like terms: 16 + -8 = 8 35 + -5x = 8 + 4x Solving 35 + -5x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 35 + -5x + -4x = 8 + 4x + -4x Combine like terms: -5x + -4x = -9x 35 + -9x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 35 + -9x = 8 + 0 35 + -9x = 8 Add '-35' to each side of the equation. 35 + -35 + -9x = 8 + -35 Combine like terms: 35 + -35 = 0 0 + -9x = 8 + -35 -9x = 8 + -35 Combine like terms: 8 + -35 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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