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Simplifying -6x + 4 + -1(2x + 5) = 31 Reorder the terms: -6x + 4 + -1(5 + 2x) = 31 -6x + 4 + (5 * -1 + 2x * -1) = 31 -6x + 4 + (-5 + -2x) = 31 Reorder the terms: 4 + -5 + -6x + -2x = 31 Combine like terms: 4 + -5 = -1 -1 + -6x + -2x = 31 Combine like terms: -6x + -2x = -8x -1 + -8x = 31 Solving -1 + -8x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -8x = 31 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 31 + 1 -8x = 31 + 1 Combine like terms: 31 + 1 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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