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Simplifying -4(x + -1) + -1(5 + -1x) + (x + -4) * 5 = 31 Reorder the terms: -4(-1 + x) + -1(5 + -1x) + (x + -4) * 5 = 31 (-1 * -4 + x * -4) + -1(5 + -1x) + (x + -4) * 5 = 31 (4 + -4x) + -1(5 + -1x) + (x + -4) * 5 = 31 4 + -4x + (5 * -1 + -1x * -1) + (x + -4) * 5 = 31 4 + -4x + (-5 + 1x) + (x + -4) * 5 = 31 Reorder the terms: 4 + -4x + -5 + 1x + (-4 + x) * 5 = 31 Reorder the terms for easier multiplication: 4 + -4x + -5 + 1x + 5(-4 + x) = 31 4 + -4x + -5 + 1x + (-4 * 5 + x * 5) = 31 4 + -4x + -5 + 1x + (-20 + 5x) = 31 Reorder the terms: 4 + -5 + -20 + -4x + 1x + 5x = 31 Combine like terms: 4 + -5 = -1 -1 + -20 + -4x + 1x + 5x = 31 Combine like terms: -1 + -20 = -21 -21 + -4x + 1x + 5x = 31 Combine like terms: -4x + 1x = -3x -21 + -3x + 5x = 31 Combine like terms: -3x + 5x = 2x -21 + 2x = 31 Solving -21 + 2x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 2x = 31 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = 31 + 21 2x = 31 + 21 Combine like terms: 31 + 21 = 52 2x = 52 Divide each side by '2'. x = 26 Simplifying x = 26
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