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Simplifying 2(x + 5) + 3(x + -2) = 64 Reorder the terms: 2(5 + x) + 3(x + -2) = 64 (5 * 2 + x * 2) + 3(x + -2) = 64 (10 + 2x) + 3(x + -2) = 64 Reorder the terms: 10 + 2x + 3(-2 + x) = 64 10 + 2x + (-2 * 3 + x * 3) = 64 10 + 2x + (-6 + 3x) = 64 Reorder the terms: 10 + -6 + 2x + 3x = 64 Combine like terms: 10 + -6 = 4 4 + 2x + 3x = 64 Combine like terms: 2x + 3x = 5x 4 + 5x = 64 Solving 4 + 5x = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5x = 64 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 64 + -4 5x = 64 + -4 Combine like terms: 64 + -4 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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