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Simplifying -2(x + 5) + -12 = 3(10 + -1x) Reorder the terms: -2(5 + x) + -12 = 3(10 + -1x) (5 * -2 + x * -2) + -12 = 3(10 + -1x) (-10 + -2x) + -12 = 3(10 + -1x) Reorder the terms: -10 + -12 + -2x = 3(10 + -1x) Combine like terms: -10 + -12 = -22 -22 + -2x = 3(10 + -1x) -22 + -2x = (10 * 3 + -1x * 3) -22 + -2x = (30 + -3x) Solving -22 + -2x = 30 + -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. -22 + -2x + 3x = 30 + -3x + 3x Combine like terms: -2x + 3x = 1x -22 + 1x = 30 + -3x + 3x Combine like terms: -3x + 3x = 0 -22 + 1x = 30 + 0 -22 + 1x = 30 Add '22' to each side of the equation. -22 + 22 + 1x = 30 + 22 Combine like terms: -22 + 22 = 0 0 + 1x = 30 + 22 1x = 30 + 22 Combine like terms: 30 + 22 = 52 1x = 52 Divide each side by '1'. x = 52 Simplifying x = 52
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