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Simplifying 76 = 8 + 4(5x + -8) Reorder the terms: 76 = 8 + 4(-8 + 5x) 76 = 8 + (-8 * 4 + 5x * 4) 76 = 8 + (-32 + 20x) Combine like terms: 8 + -32 = -24 76 = -24 + 20x Solving 76 = -24 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 76 + -20x = -24 + 20x + -20x Combine like terms: 20x + -20x = 0 76 + -20x = -24 + 0 76 + -20x = -24 Add '-76' to each side of the equation. 76 + -76 + -20x = -24 + -76 Combine like terms: 76 + -76 = 0 0 + -20x = -24 + -76 -20x = -24 + -76 Combine like terms: -24 + -76 = -100 -20x = -100 Divide each side by '-20'. x = 5 Simplifying x = 5
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