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Simplifying -3(2x + -5) = -7(x + -2) Reorder the terms: -3(-5 + 2x) = -7(x + -2) (-5 * -3 + 2x * -3) = -7(x + -2) (15 + -6x) = -7(x + -2) Reorder the terms: 15 + -6x = -7(-2 + x) 15 + -6x = (-2 * -7 + x * -7) 15 + -6x = (14 + -7x) Solving 15 + -6x = 14 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 15 + -6x + 7x = 14 + -7x + 7x Combine like terms: -6x + 7x = 1x 15 + 1x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 15 + 1x = 14 + 0 15 + 1x = 14 Add '-15' to each side of the equation. 15 + -15 + 1x = 14 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 14 + -15 1x = 14 + -15 Combine like terms: 14 + -15 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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