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Simplifying -3(x + -4) + 5 = -2x + -2 Reorder the terms: -3(-4 + x) + 5 = -2x + -2 (-4 * -3 + x * -3) + 5 = -2x + -2 (12 + -3x) + 5 = -2x + -2 Reorder the terms: 12 + 5 + -3x = -2x + -2 Combine like terms: 12 + 5 = 17 17 + -3x = -2x + -2 Reorder the terms: 17 + -3x = -2 + -2x Solving 17 + -3x = -2 + -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 = -2 + -2x + 2x Combine like terms: -3x + 2x = -1x 17 + -1x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 17 + -1x = -2 + 0 17 + -1x = -2 Add '-17' to each side of the equation. 17 + -17 + -1x = -2 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = -2 + -17 -1x = -2 + -17 Combine like terms: -2 + -17 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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