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Simplifying 4(3x + 8) = 5(2 + -1x) Reorder the terms: 4(8 + 3x) = 5(2 + -1x) (8 * 4 + 3x * 4) = 5(2 + -1x) (32 + 12x) = 5(2 + -1x) 32 + 12x = (2 * 5 + -1x * 5) 32 + 12x = (10 + -5x) Solving 32 + 12x = 10 + -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. 32 + 12x + 5x = 10 + -5x + 5x Combine like terms: 12x + 5x = 17x 32 + 17x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 32 + 17x = 10 + 0 32 + 17x = 10 Add '-32' to each side of the equation. 32 + -32 + 17x = 10 + -32 Combine like terms: 32 + -32 = 0 0 + 17x = 10 + -32 17x = 10 + -32 Combine like terms: 10 + -32 = -22 17x = -22 Divide each side by '17'. x = -1.294117647 Simplifying x = -1.294117647
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