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