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Simplifying 1x + 6(3 + 2x) + -1(3 + 6x) = 2x + 5(4 + 2x) + 2(1x + 3) + -2 1x + (3 * 6 + 2x * 6) + -1(3 + 6x) = 2x + 5(4 + 2x) + 2(1x + 3) + -2 1x + (18 + 12x) + -1(3 + 6x) = 2x + 5(4 + 2x) + 2(1x + 3) + -2 1x + 18 + 12x + (3 * -1 + 6x * -1) = 2x + 5(4 + 2x) + 2(1x + 3) + -2 1x + 18 + 12x + (-3 + -6x) = 2x + 5(4 + 2x) + 2(1x + 3) + -2 Reorder the terms: 18 + -3 + 1x + 12x + -6x = 2x + 5(4 + 2x) + 2(1x + 3) + -2 Combine like terms: 18 + -3 = 15 15 + 1x + 12x + -6x = 2x + 5(4 + 2x) + 2(1x + 3) + -2 Combine like terms: 1x + 12x = 13x 15 + 13x + -6x = 2x + 5(4 + 2x) + 2(1x + 3) + -2 Combine like terms: 13x + -6x = 7x 15 + 7x = 2x + 5(4 + 2x) + 2(1x + 3) + -2 15 + 7x = 2x + (4 * 5 + 2x * 5) + 2(1x + 3) + -2 15 + 7x = 2x + (20 + 10x) + 2(1x + 3) + -2 Reorder the terms: 15 + 7x = 2x + 20 + 10x + 2(3 + 1x) + -2 15 + 7x = 2x + 20 + 10x + (3 * 2 + 1x * 2) + -2 15 + 7x = 2x + 20 + 10x + (6 + 2x) + -2 Reorder the terms: 15 + 7x = 20 + 6 + -2 + 2x + 10x + 2x Combine like terms: 20 + 6 = 26 15 + 7x = 26 + -2 + 2x + 10x + 2x Combine like terms: 26 + -2 = 24 15 + 7x = 24 + 2x + 10x + 2x Combine like terms: 2x + 10x = 12x 15 + 7x = 24 + 12x + 2x Combine like terms: 12x + 2x = 14x 15 + 7x = 24 + 14x Solving 15 + 7x = 24 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 15 + 7x + -14x = 24 + 14x + -14x Combine like terms: 7x + -14x = -7x 15 + -7x = 24 + 14x + -14x Combine like terms: 14x + -14x = 0 15 + -7x = 24 + 0 15 + -7x = 24 Add '-15' to each side of the equation. 15 + -15 + -7x = 24 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = 24 + -15 -7x = 24 + -15 Combine like terms: 24 + -15 = 9 -7x = 9 Divide each side by '-7'. x = -1.285714286 Simplifying x = -1.285714286
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