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Simplifying -5x + 7 = -4(x + -9) Reorder the terms: 7 + -5x = -4(x + -9) Reorder the terms: 7 + -5x = -4(-9 + x) 7 + -5x = (-9 * -4 + x * -4) 7 + -5x = (36 + -4x) Solving 7 + -5x = 36 + -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. 7 + -5x + 4x = 36 + -4x + 4x Combine like terms: -5x + 4x = -1x 7 + -1x = 36 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + -1x = 36 + 0 7 + -1x = 36 Add '-7' to each side of the equation. 7 + -7 + -1x = 36 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 36 + -7 -1x = 36 + -7 Combine like terms: 36 + -7 = 29 -1x = 29 Divide each side by '-1'. x = -29 Simplifying x = -29
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