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Simplifying (3x + -1) + -2x = 2(2x + -5) + -8 Reorder the terms: (-1 + 3x) + -2x = 2(2x + -5) + -8 Remove parenthesis around (-1 + 3x) -1 + 3x + -2x = 2(2x + -5) + -8 Combine like terms: 3x + -2x = 1x -1 + 1x = 2(2x + -5) + -8 Reorder the terms: -1 + 1x = 2(-5 + 2x) + -8 -1 + 1x = (-5 * 2 + 2x * 2) + -8 -1 + 1x = (-10 + 4x) + -8 Reorder the terms: -1 + 1x = -10 + -8 + 4x Combine like terms: -10 + -8 = -18 -1 + 1x = -18 + 4x Solving -1 + 1x = -18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + 1x + -4x = -18 + 4x + -4x Combine like terms: 1x + -4x = -3x -1 + -3x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -3x = -18 + 0 -1 + -3x = -18 Add '1' to each side of the equation. -1 + 1 + -3x = -18 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = -18 + 1 -3x = -18 + 1 Combine like terms: -18 + 1 = -17 -3x = -17 Divide each side by '-3'. x = 5.666666667 Simplifying x = 5.666666667
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