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Simplifying -5(x + -1) = 4(x + 6) + -7 Reorder the terms: -5(-1 + x) = 4(x + 6) + -7 (-1 * -5 + x * -5) = 4(x + 6) + -7 (5 + -5x) = 4(x + 6) + -7 Reorder the terms: 5 + -5x = 4(6 + x) + -7 5 + -5x = (6 * 4 + x * 4) + -7 5 + -5x = (24 + 4x) + -7 Reorder the terms: 5 + -5x = 24 + -7 + 4x Combine like terms: 24 + -7 = 17 5 + -5x = 17 + 4x Solving 5 + -5x = 17 + 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. 5 + -5x + -4x = 17 + 4x + -4x Combine like terms: -5x + -4x = -9x 5 + -9x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -9x = 17 + 0 5 + -9x = 17 Add '-5' to each side of the equation. 5 + -5 + -9x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 17 + -5 -9x = 17 + -5 Combine like terms: 17 + -5 = 12 -9x = 12 Divide each side by '-9'. x = -1.333333333 Simplifying x = -1.333333333
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