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Simplifying 2(4x + 3) + -3(2x + -1) = x + 15 Reorder the terms: 2(3 + 4x) + -3(2x + -1) = x + 15 (3 * 2 + 4x * 2) + -3(2x + -1) = x + 15 (6 + 8x) + -3(2x + -1) = x + 15 Reorder the terms: 6 + 8x + -3(-1 + 2x) = x + 15 6 + 8x + (-1 * -3 + 2x * -3) = x + 15 6 + 8x + (3 + -6x) = x + 15 Reorder the terms: 6 + 3 + 8x + -6x = x + 15 Combine like terms: 6 + 3 = 9 9 + 8x + -6x = x + 15 Combine like terms: 8x + -6x = 2x 9 + 2x = x + 15 Reorder the terms: 9 + 2x = 15 + x Solving 9 + 2x = 15 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 9 + 2x + -1x = 15 + x + -1x Combine like terms: 2x + -1x = 1x 9 + 1x = 15 + x + -1x Combine like terms: x + -1x = 0 9 + 1x = 15 + 0 9 + 1x = 15 Add '-9' to each side of the equation. 9 + -9 + 1x = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 15 + -9 1x = 15 + -9 Combine like terms: 15 + -9 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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