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Simplifying -4(2x + -3) + -1(10x + 7) + -2 = (12x + -5) + -1(4x + 9) + -1 Reorder the terms: -4(-3 + 2x) + -1(10x + 7) + -2 = (12x + -5) + -1(4x + 9) + -1 (-3 * -4 + 2x * -4) + -1(10x + 7) + -2 = (12x + -5) + -1(4x + 9) + -1 (12 + -8x) + -1(10x + 7) + -2 = (12x + -5) + -1(4x + 9) + -1 Reorder the terms: 12 + -8x + -1(7 + 10x) + -2 = (12x + -5) + -1(4x + 9) + -1 12 + -8x + (7 * -1 + 10x * -1) + -2 = (12x + -5) + -1(4x + 9) + -1 12 + -8x + (-7 + -10x) + -2 = (12x + -5) + -1(4x + 9) + -1 Reorder the terms: 12 + -7 + -2 + -8x + -10x = (12x + -5) + -1(4x + 9) + -1 Combine like terms: 12 + -7 = 5 5 + -2 + -8x + -10x = (12x + -5) + -1(4x + 9) + -1 Combine like terms: 5 + -2 = 3 3 + -8x + -10x = (12x + -5) + -1(4x + 9) + -1 Combine like terms: -8x + -10x = -18x 3 + -18x = (12x + -5) + -1(4x + 9) + -1 Reorder the terms: 3 + -18x = (-5 + 12x) + -1(4x + 9) + -1 Remove parenthesis around (-5 + 12x) 3 + -18x = -5 + 12x + -1(4x + 9) + -1 Reorder the terms: 3 + -18x = -5 + 12x + -1(9 + 4x) + -1 3 + -18x = -5 + 12x + (9 * -1 + 4x * -1) + -1 3 + -18x = -5 + 12x + (-9 + -4x) + -1 Reorder the terms: 3 + -18x = -5 + -9 + -1 + 12x + -4x Combine like terms: -5 + -9 = -14 3 + -18x = -14 + -1 + 12x + -4x Combine like terms: -14 + -1 = -15 3 + -18x = -15 + 12x + -4x Combine like terms: 12x + -4x = 8x 3 + -18x = -15 + 8x Solving 3 + -18x = -15 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3 + -18x + -8x = -15 + 8x + -8x Combine like terms: -18x + -8x = -26x 3 + -26x = -15 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -26x = -15 + 0 3 + -26x = -15 Add '-3' to each side of the equation. 3 + -3 + -26x = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -26x = -15 + -3 -26x = -15 + -3 Combine like terms: -15 + -3 = -18 -26x = -18 Divide each side by '-26'. x = 0.6923076923 Simplifying x = 0.6923076923
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