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Simplifying -6(3 + -4x) + 2x = 8(x + 1) (3 * -6 + -4x * -6) + 2x = 8(x + 1) (-18 + 24x) + 2x = 8(x + 1) Combine like terms: 24x + 2x = 26x -18 + 26x = 8(x + 1) Reorder the terms: -18 + 26x = 8(1 + x) -18 + 26x = (1 * 8 + x * 8) -18 + 26x = (8 + 8x) Solving -18 + 26x = 8 + 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. -18 + 26x + -8x = 8 + 8x + -8x Combine like terms: 26x + -8x = 18x -18 + 18x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + 18x = 8 + 0 -18 + 18x = 8 Add '18' to each side of the equation. -18 + 18 + 18x = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 18x = 8 + 18 18x = 8 + 18 Combine like terms: 8 + 18 = 26 18x = 26 Divide each side by '18'. x = 1.444444444 Simplifying x = 1.444444444
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