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Simplifying -1x + 7 = -3(x + -5) Reorder the terms: 7 + -1x = -3(x + -5) Reorder the terms: 7 + -1x = -3(-5 + x) 7 + -1x = (-5 * -3 + x * -3) 7 + -1x = (15 + -3x) Solving 7 + -1x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 7 + -1x + 3x = 15 + -3x + 3x Combine like terms: -1x + 3x = 2x 7 + 2x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 2x = 15 + 0 7 + 2x = 15 Add '-7' to each side of the equation. 7 + -7 + 2x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 15 + -7 2x = 15 + -7 Combine like terms: 15 + -7 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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