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Simplifying 4(5x + -2) = -3x + -31 Reorder the terms: 4(-2 + 5x) = -3x + -31 (-2 * 4 + 5x * 4) = -3x + -31 (-8 + 20x) = -3x + -31 Reorder the terms: -8 + 20x = -31 + -3x Solving -8 + 20x = -31 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + 20x + 3x = -31 + -3x + 3x Combine like terms: 20x + 3x = 23x -8 + 23x = -31 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 23x = -31 + 0 -8 + 23x = -31 Add '8' to each side of the equation. -8 + 8 + 23x = -31 + 8 Combine like terms: -8 + 8 = 0 0 + 23x = -31 + 8 23x = -31 + 8 Combine like terms: -31 + 8 = -23 23x = -23 Divide each side by '23'. x = -1 Simplifying x = -1
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