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Simplifying 2(-2x + 7) = -3(x + 5) Reorder the terms: 2(7 + -2x) = -3(x + 5) (7 * 2 + -2x * 2) = -3(x + 5) (14 + -4x) = -3(x + 5) Reorder the terms: 14 + -4x = -3(5 + x) 14 + -4x = (5 * -3 + x * -3) 14 + -4x = (-15 + -3x) Solving 14 + -4x = -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. 14 + -4x + 3x = -15 + -3x + 3x Combine like terms: -4x + 3x = -1x 14 + -1x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 14 + -1x = -15 + 0 14 + -1x = -15 Add '-14' to each side of the equation. 14 + -14 + -1x = -15 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = -15 + -14 -1x = -15 + -14 Combine like terms: -15 + -14 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29
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