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Simplifying 456 = 8(5x + 12) Reorder the terms: 456 = 8(12 + 5x) 456 = (12 * 8 + 5x * 8) 456 = (96 + 40x) Solving 456 = 96 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 456 + -40x = 96 + 40x + -40x Combine like terms: 40x + -40x = 0 456 + -40x = 96 + 0 456 + -40x = 96 Add '-456' to each side of the equation. 456 + -456 + -40x = 96 + -456 Combine like terms: 456 + -456 = 0 0 + -40x = 96 + -456 -40x = 96 + -456 Combine like terms: 96 + -456 = -360 -40x = -360 Divide each side by '-40'. x = 9 Simplifying x = 9
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