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Simplifying -5(x + 4) = 32 + 8x Reorder the terms: -5(4 + x) = 32 + 8x (4 * -5 + x * -5) = 32 + 8x (-20 + -5x) = 32 + 8x Solving -20 + -5x = 32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -20 + -5x + -8x = 32 + 8x + -8x Combine like terms: -5x + -8x = -13x -20 + -13x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + -13x = 32 + 0 -20 + -13x = 32 Add '20' to each side of the equation. -20 + 20 + -13x = 32 + 20 Combine like terms: -20 + 20 = 0 0 + -13x = 32 + 20 -13x = 32 + 20 Combine like terms: 32 + 20 = 52 -13x = 52 Divide each side by '-13'. x = -4 Simplifying x = -4
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