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Simplifying 5(2x + 3) + -3(2x + 4) = 15 Reorder the terms: 5(3 + 2x) + -3(2x + 4) = 15 (3 * 5 + 2x * 5) + -3(2x + 4) = 15 (15 + 10x) + -3(2x + 4) = 15 Reorder the terms: 15 + 10x + -3(4 + 2x) = 15 15 + 10x + (4 * -3 + 2x * -3) = 15 15 + 10x + (-12 + -6x) = 15 Reorder the terms: 15 + -12 + 10x + -6x = 15 Combine like terms: 15 + -12 = 3 3 + 10x + -6x = 15 Combine like terms: 10x + -6x = 4x 3 + 4x = 15 Solving 3 + 4x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 15 + -3 4x = 15 + -3 Combine like terms: 15 + -3 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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