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Simplifying -4x + 3(x + -5) = 31 Reorder the terms: -4x + 3(-5 + x) = 31 -4x + (-5 * 3 + x * 3) = 31 -4x + (-15 + 3x) = 31 Reorder the terms: -15 + -4x + 3x = 31 Combine like terms: -4x + 3x = -1x -15 + -1x = 31 Solving -15 + -1x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1x = 31 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 31 + 15 -1x = 31 + 15 Combine like terms: 31 + 15 = 46 -1x = 46 Divide each side by '-1'. x = -46 Simplifying x = -46
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