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Simplifying -3(x + -5) + 2 = 7 + -2x Reorder the terms: -3(-5 + x) + 2 = 7 + -2x (-5 * -3 + x * -3) + 2 = 7 + -2x (15 + -3x) + 2 = 7 + -2x Reorder the terms: 15 + 2 + -3x = 7 + -2x Combine like terms: 15 + 2 = 17 17 + -3x = 7 + -2x Solving 17 + -3x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 17 + -3x + 2x = 7 + -2x + 2x Combine like terms: -3x + 2x = -1x 17 + -1x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 17 + -1x = 7 + 0 17 + -1x = 7 Add '-17' to each side of the equation. 17 + -17 + -1x = 7 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 7 + -17 -1x = 7 + -17 Combine like terms: 7 + -17 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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