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Simplifying (-3x + -4) * 31 = 81x + -1(-2x + -2) Reorder the terms: (-4 + -3x) * 31 = 81x + -1(-2x + -2) Reorder the terms for easier multiplication: 31(-4 + -3x) = 81x + -1(-2x + -2) (-4 * 31 + -3x * 31) = 81x + -1(-2x + -2) (-124 + -93x) = 81x + -1(-2x + -2) Reorder the terms: -124 + -93x = 81x + -1(-2 + -2x) -124 + -93x = 81x + (-2 * -1 + -2x * -1) -124 + -93x = 81x + (2 + 2x) Reorder the terms: -124 + -93x = 2 + 81x + 2x Combine like terms: 81x + 2x = 83x -124 + -93x = 2 + 83x Solving -124 + -93x = 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. -124 + -93x + -83x = 2 + 83x + -83x Combine like terms: -93x + -83x = -176x -124 + -176x = 2 + 83x + -83x Combine like terms: 83x + -83x = 0 -124 + -176x = 2 + 0 -124 + -176x = 2 Add '124' to each side of the equation. -124 + 124 + -176x = 2 + 124 Combine like terms: -124 + 124 = 0 0 + -176x = 2 + 124 -176x = 2 + 124 Combine like terms: 2 + 124 = 126 -176x = 126 Divide each side by '-176'. x = -0.7159090909 Simplifying x = -0.7159090909
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