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Simplifying -2(5x + 7) + -5 = 31 + -6x Reorder the terms: -2(7 + 5x) + -5 = 31 + -6x (7 * -2 + 5x * -2) + -5 = 31 + -6x (-14 + -10x) + -5 = 31 + -6x Reorder the terms: -14 + -5 + -10x = 31 + -6x Combine like terms: -14 + -5 = -19 -19 + -10x = 31 + -6x Solving -19 + -10x = 31 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -19 + -10x + 6x = 31 + -6x + 6x Combine like terms: -10x + 6x = -4x -19 + -4x = 31 + -6x + 6x Combine like terms: -6x + 6x = 0 -19 + -4x = 31 + 0 -19 + -4x = 31 Add '19' to each side of the equation. -19 + 19 + -4x = 31 + 19 Combine like terms: -19 + 19 = 0 0 + -4x = 31 + 19 -4x = 31 + 19 Combine like terms: 31 + 19 = 50 -4x = 50 Divide each side by '-4'. x = -12.5 Simplifying x = -12.5
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