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Simplifying 4(-3x + -5) = -2(5x + 3) Reorder the terms: 4(-5 + -3x) = -2(5x + 3) (-5 * 4 + -3x * 4) = -2(5x + 3) (-20 + -12x) = -2(5x + 3) Reorder the terms: -20 + -12x = -2(3 + 5x) -20 + -12x = (3 * -2 + 5x * -2) -20 + -12x = (-6 + -10x) Solving -20 + -12x = -6 + -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 = -6 + -10x + 10x Combine like terms: -12x + 10x = -2x -20 + -2x = -6 + -10x + 10x Combine like terms: -10x + 10x = 0 -20 + -2x = -6 + 0 -20 + -2x = -6 Add '20' to each side of the equation. -20 + 20 + -2x = -6 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = -6 + 20 -2x = -6 + 20 Combine like terms: -6 + 20 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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