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Simplifying -3(3x + -5) = 2(2x + -7) Reorder the terms: -3(-5 + 3x) = 2(2x + -7) (-5 * -3 + 3x * -3) = 2(2x + -7) (15 + -9x) = 2(2x + -7) Reorder the terms: 15 + -9x = 2(-7 + 2x) 15 + -9x = (-7 * 2 + 2x * 2) 15 + -9x = (-14 + 4x) Solving 15 + -9x = -14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + -9x + -4x = -14 + 4x + -4x Combine like terms: -9x + -4x = -13x 15 + -13x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -13x = -14 + 0 15 + -13x = -14 Add '-15' to each side of the equation. 15 + -15 + -13x = -14 + -15 Combine like terms: 15 + -15 = 0 0 + -13x = -14 + -15 -13x = -14 + -15 Combine like terms: -14 + -15 = -29 -13x = -29 Divide each side by '-13'. x = 2.230769231 Simplifying x = 2.230769231
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