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Simplifying 3(8 + -1x) = 5(x + 4) (8 * 3 + -1x * 3) = 5(x + 4) (24 + -3x) = 5(x + 4) Reorder the terms: 24 + -3x = 5(4 + x) 24 + -3x = (4 * 5 + x * 5) 24 + -3x = (20 + 5x) Solving 24 + -3x = 20 + 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. 24 + -3x + -5x = 20 + 5x + -5x Combine like terms: -3x + -5x = -8x 24 + -8x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + -8x = 20 + 0 24 + -8x = 20 Add '-24' to each side of the equation. 24 + -24 + -8x = 20 + -24 Combine like terms: 24 + -24 = 0 0 + -8x = 20 + -24 -8x = 20 + -24 Combine like terms: 20 + -24 = -4 -8x = -4 Divide each side by '-8'. x = 0.5 Simplifying x = 0.5
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