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Simplifying -1x + -31 = -1(7x + -5) + -2x Reorder the terms: -31 + -1x = -1(7x + -5) + -2x Reorder the terms: -31 + -1x = -1(-5 + 7x) + -2x -31 + -1x = (-5 * -1 + 7x * -1) + -2x -31 + -1x = (5 + -7x) + -2x Combine like terms: -7x + -2x = -9x -31 + -1x = 5 + -9x Solving -31 + -1x = 5 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -31 + -1x + 9x = 5 + -9x + 9x Combine like terms: -1x + 9x = 8x -31 + 8x = 5 + -9x + 9x Combine like terms: -9x + 9x = 0 -31 + 8x = 5 + 0 -31 + 8x = 5 Add '31' to each side of the equation. -31 + 31 + 8x = 5 + 31 Combine like terms: -31 + 31 = 0 0 + 8x = 5 + 31 8x = 5 + 31 Combine like terms: 5 + 31 = 36 8x = 36 Divide each side by '8'. x = 4.5 Simplifying x = 4.5
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