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Simplifying -7(2x + -5) = -3(3x + 5) Reorder the terms: -7(-5 + 2x) = -3(3x + 5) (-5 * -7 + 2x * -7) = -3(3x + 5) (35 + -14x) = -3(3x + 5) Reorder the terms: 35 + -14x = -3(5 + 3x) 35 + -14x = (5 * -3 + 3x * -3) 35 + -14x = (-15 + -9x) Solving 35 + -14x = -15 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 35 + -14x + 9x = -15 + -9x + 9x Combine like terms: -14x + 9x = -5x 35 + -5x = -15 + -9x + 9x Combine like terms: -9x + 9x = 0 35 + -5x = -15 + 0 35 + -5x = -15 Add '-35' to each side of the equation. 35 + -35 + -5x = -15 + -35 Combine like terms: 35 + -35 = 0 0 + -5x = -15 + -35 -5x = -15 + -35 Combine like terms: -15 + -35 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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