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Simplifying 4(8 + -5x) = (x + 4) (8 * 4 + -5x * 4) = (x + 4) (32 + -20x) = (x + 4) Reorder the terms: 32 + -20x = (4 + x) Remove parenthesis around (4 + x) 32 + -20x = 4 + x Solving 32 + -20x = 4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 32 + -20x + -1x = 4 + x + -1x Combine like terms: -20x + -1x = -21x 32 + -21x = 4 + x + -1x Combine like terms: x + -1x = 0 32 + -21x = 4 + 0 32 + -21x = 4 Add '-32' to each side of the equation. 32 + -32 + -21x = 4 + -32 Combine like terms: 32 + -32 = 0 0 + -21x = 4 + -32 -21x = 4 + -32 Combine like terms: 4 + -32 = -28 -21x = -28 Divide each side by '-21'. x = 1.333333333 Simplifying x = 1.333333333
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