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Simplifying 5(3x + 2) + -3(2x + 3) = 64 Reorder the terms: 5(2 + 3x) + -3(2x + 3) = 64 (2 * 5 + 3x * 5) + -3(2x + 3) = 64 (10 + 15x) + -3(2x + 3) = 64 Reorder the terms: 10 + 15x + -3(3 + 2x) = 64 10 + 15x + (3 * -3 + 2x * -3) = 64 10 + 15x + (-9 + -6x) = 64 Reorder the terms: 10 + -9 + 15x + -6x = 64 Combine like terms: 10 + -9 = 1 1 + 15x + -6x = 64 Combine like terms: 15x + -6x = 9x 1 + 9x = 64 Solving 1 + 9x = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 9x = 64 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 64 + -1 9x = 64 + -1 Combine like terms: 64 + -1 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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