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Simplifying 5(x + 4) = 3(8 + -1x) Reorder the terms: 5(4 + x) = 3(8 + -1x) (4 * 5 + x * 5) = 3(8 + -1x) (20 + 5x) = 3(8 + -1x) 20 + 5x = (8 * 3 + -1x * 3) 20 + 5x = (24 + -3x) Solving 20 + 5x = 24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 20 + 5x + 3x = 24 + -3x + 3x Combine like terms: 5x + 3x = 8x 20 + 8x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 20 + 8x = 24 + 0 20 + 8x = 24 Add '-20' to each side of the equation. 20 + -20 + 8x = 24 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = 24 + -20 8x = 24 + -20 Combine like terms: 24 + -20 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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