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Simplifying 6(2 + -1x) + -1(3 + -1x) = 7(2x + 3) (2 * 6 + -1x * 6) + -1(3 + -1x) = 7(2x + 3) (12 + -6x) + -1(3 + -1x) = 7(2x + 3) 12 + -6x + (3 * -1 + -1x * -1) = 7(2x + 3) 12 + -6x + (-3 + 1x) = 7(2x + 3) Reorder the terms: 12 + -3 + -6x + 1x = 7(2x + 3) Combine like terms: 12 + -3 = 9 9 + -6x + 1x = 7(2x + 3) Combine like terms: -6x + 1x = -5x 9 + -5x = 7(2x + 3) Reorder the terms: 9 + -5x = 7(3 + 2x) 9 + -5x = (3 * 7 + 2x * 7) 9 + -5x = (21 + 14x) Solving 9 + -5x = 21 + 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. 9 + -5x + -14x = 21 + 14x + -14x Combine like terms: -5x + -14x = -19x 9 + -19x = 21 + 14x + -14x Combine like terms: 14x + -14x = 0 9 + -19x = 21 + 0 9 + -19x = 21 Add '-9' to each side of the equation. 9 + -9 + -19x = 21 + -9 Combine like terms: 9 + -9 = 0 0 + -19x = 21 + -9 -19x = 21 + -9 Combine like terms: 21 + -9 = 12 -19x = 12 Divide each side by '-19'. x = -0.6315789474 Simplifying x = -0.6315789474
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