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Simplifying 11x + 2(4 + -3x) = 3(3 + -1x) + 15 11x + (4 * 2 + -3x * 2) = 3(3 + -1x) + 15 11x + (8 + -6x) = 3(3 + -1x) + 15 Reorder the terms: 8 + 11x + -6x = 3(3 + -1x) + 15 Combine like terms: 11x + -6x = 5x 8 + 5x = 3(3 + -1x) + 15 8 + 5x = (3 * 3 + -1x * 3) + 15 8 + 5x = (9 + -3x) + 15 Reorder the terms: 8 + 5x = 9 + 15 + -3x Combine like terms: 9 + 15 = 24 8 + 5x = 24 + -3x Solving 8 + 5x = 24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + 5x + 3x = 24 + -3x + 3x Combine like terms: 5x + 3x = 8x 8 + 8x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 8x = 24 + 0 8 + 8x = 24 Add '-8' to each side of the equation. 8 + -8 + 8x = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 24 + -8 8x = 24 + -8 Combine like terms: 24 + -8 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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