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Simplifying -3x + -4(3x + -5) = -5x + 32 Reorder the terms: -3x + -4(-5 + 3x) = -5x + 32 -3x + (-5 * -4 + 3x * -4) = -5x + 32 -3x + (20 + -12x) = -5x + 32 Reorder the terms: 20 + -3x + -12x = -5x + 32 Combine like terms: -3x + -12x = -15x 20 + -15x = -5x + 32 Reorder the terms: 20 + -15x = 32 + -5x Solving 20 + -15x = 32 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 20 + -15x + 5x = 32 + -5x + 5x Combine like terms: -15x + 5x = -10x 20 + -10x = 32 + -5x + 5x Combine like terms: -5x + 5x = 0 20 + -10x = 32 + 0 20 + -10x = 32 Add '-20' to each side of the equation. 20 + -20 + -10x = 32 + -20 Combine like terms: 20 + -20 = 0 0 + -10x = 32 + -20 -10x = 32 + -20 Combine like terms: 32 + -20 = 12 -10x = 12 Divide each side by '-10'. x = -1.2 Simplifying x = -1.2
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