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Simplifying -5(x + 4) + 7 = 8 + -1(x + -9) Reorder the terms: -5(4 + x) + 7 = 8 + -1(x + -9) (4 * -5 + x * -5) + 7 = 8 + -1(x + -9) (-20 + -5x) + 7 = 8 + -1(x + -9) Reorder the terms: -20 + 7 + -5x = 8 + -1(x + -9) Combine like terms: -20 + 7 = -13 -13 + -5x = 8 + -1(x + -9) Reorder the terms: -13 + -5x = 8 + -1(-9 + x) -13 + -5x = 8 + (-9 * -1 + x * -1) -13 + -5x = 8 + (9 + -1x) Combine like terms: 8 + 9 = 17 -13 + -5x = 17 + -1x Solving -13 + -5x = 17 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -13 + -5x + x = 17 + -1x + x Combine like terms: -5x + x = -4x -13 + -4x = 17 + -1x + x Combine like terms: -1x + x = 0 -13 + -4x = 17 + 0 -13 + -4x = 17 Add '13' to each side of the equation. -13 + 13 + -4x = 17 + 13 Combine like terms: -13 + 13 = 0 0 + -4x = 17 + 13 -4x = 17 + 13 Combine like terms: 17 + 13 = 30 -4x = 30 Divide each side by '-4'. x = -7.5 Simplifying x = -7.5
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