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Simplifying 2(4x + 1) + -4(5 + -1x) = 2(10 + -1x) + -12 Reorder the terms: 2(1 + 4x) + -4(5 + -1x) = 2(10 + -1x) + -12 (1 * 2 + 4x * 2) + -4(5 + -1x) = 2(10 + -1x) + -12 (2 + 8x) + -4(5 + -1x) = 2(10 + -1x) + -12 2 + 8x + (5 * -4 + -1x * -4) = 2(10 + -1x) + -12 2 + 8x + (-20 + 4x) = 2(10 + -1x) + -12 Reorder the terms: 2 + -20 + 8x + 4x = 2(10 + -1x) + -12 Combine like terms: 2 + -20 = -18 -18 + 8x + 4x = 2(10 + -1x) + -12 Combine like terms: 8x + 4x = 12x -18 + 12x = 2(10 + -1x) + -12 -18 + 12x = (10 * 2 + -1x * 2) + -12 -18 + 12x = (20 + -2x) + -12 Reorder the terms: -18 + 12x = 20 + -12 + -2x Combine like terms: 20 + -12 = 8 -18 + 12x = 8 + -2x Solving -18 + 12x = 8 + -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. -18 + 12x + 2x = 8 + -2x + 2x Combine like terms: 12x + 2x = 14x -18 + 14x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -18 + 14x = 8 + 0 -18 + 14x = 8 Add '18' to each side of the equation. -18 + 18 + 14x = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 14x = 8 + 18 14x = 8 + 18 Combine like terms: 8 + 18 = 26 14x = 26 Divide each side by '14'. x = 1.857142857 Simplifying x = 1.857142857
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