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Simplifying 4(-5x + -3) = 32 + 2x Reorder the terms: 4(-3 + -5x) = 32 + 2x (-3 * 4 + -5x * 4) = 32 + 2x (-12 + -20x) = 32 + 2x Solving -12 + -20x = 32 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + -20x + -2x = 32 + 2x + -2x Combine like terms: -20x + -2x = -22x -12 + -22x = 32 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -22x = 32 + 0 -12 + -22x = 32 Add '12' to each side of the equation. -12 + 12 + -22x = 32 + 12 Combine like terms: -12 + 12 = 0 0 + -22x = 32 + 12 -22x = 32 + 12 Combine like terms: 32 + 12 = 44 -22x = 44 Divide each side by '-22'. x = -2 Simplifying x = -2
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