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Simplifying (3x + -4) + -31 = -81x + -1(2x + -2) Reorder the terms: (-4 + 3x) + -31 = -81x + -1(2x + -2) Remove parenthesis around (-4 + 3x) -4 + 3x + -31 = -81x + -1(2x + -2) Reorder the terms: -4 + -31 + 3x = -81x + -1(2x + -2) Combine like terms: -4 + -31 = -35 -35 + 3x = -81x + -1(2x + -2) Reorder the terms: -35 + 3x = -81x + -1(-2 + 2x) -35 + 3x = -81x + (-2 * -1 + 2x * -1) -35 + 3x = -81x + (2 + -2x) Reorder the terms: -35 + 3x = 2 + -81x + -2x Combine like terms: -81x + -2x = -83x -35 + 3x = 2 + -83x Solving -35 + 3x = 2 + -83x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '83x' to each side of the equation. -35 + 3x + 83x = 2 + -83x + 83x Combine like terms: 3x + 83x = 86x -35 + 86x = 2 + -83x + 83x Combine like terms: -83x + 83x = 0 -35 + 86x = 2 + 0 -35 + 86x = 2 Add '35' to each side of the equation. -35 + 35 + 86x = 2 + 35 Combine like terms: -35 + 35 = 0 0 + 86x = 2 + 35 86x = 2 + 35 Combine like terms: 2 + 35 = 37 86x = 37 Divide each side by '86'. x = 0.4302325581 Simplifying x = 0.4302325581
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