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Simplifying -4(3x + 5) = 5(-2x + -3) Reorder the terms: -4(5 + 3x) = 5(-2x + -3) (5 * -4 + 3x * -4) = 5(-2x + -3) (-20 + -12x) = 5(-2x + -3) Reorder the terms: -20 + -12x = 5(-3 + -2x) -20 + -12x = (-3 * 5 + -2x * 5) -20 + -12x = (-15 + -10x) Solving -20 + -12x = -15 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -20 + -12x + 10x = -15 + -10x + 10x Combine like terms: -12x + 10x = -2x -20 + -2x = -15 + -10x + 10x Combine like terms: -10x + 10x = 0 -20 + -2x = -15 + 0 -20 + -2x = -15 Add '20' to each side of the equation. -20 + 20 + -2x = -15 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = -15 + 20 -2x = -15 + 20 Combine like terms: -15 + 20 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5
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