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Simplifying 64 = 5(5x + 1) + -2(x + 5) Reorder the terms: 64 = 5(1 + 5x) + -2(x + 5) 64 = (1 * 5 + 5x * 5) + -2(x + 5) 64 = (5 + 25x) + -2(x + 5) Reorder the terms: 64 = 5 + 25x + -2(5 + x) 64 = 5 + 25x + (5 * -2 + x * -2) 64 = 5 + 25x + (-10 + -2x) Reorder the terms: 64 = 5 + -10 + 25x + -2x Combine like terms: 5 + -10 = -5 64 = -5 + 25x + -2x Combine like terms: 25x + -2x = 23x 64 = -5 + 23x Solving 64 = -5 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 64 + -23x = -5 + 23x + -23x Combine like terms: 23x + -23x = 0 64 + -23x = -5 + 0 64 + -23x = -5 Add '-64' to each side of the equation. 64 + -64 + -23x = -5 + -64 Combine like terms: 64 + -64 = 0 0 + -23x = -5 + -64 -23x = -5 + -64 Combine like terms: -5 + -64 = -69 -23x = -69 Divide each side by '-23'. x = 3 Simplifying x = 3
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