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Simplifying -31 + -7x = -2(x + -2) Reorder the terms: -31 + -7x = -2(-2 + x) -31 + -7x = (-2 * -2 + x * -2) -31 + -7x = (4 + -2x) Solving -31 + -7x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -31 + -7x + 2x = 4 + -2x + 2x Combine like terms: -7x + 2x = -5x -31 + -5x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 -31 + -5x = 4 + 0 -31 + -5x = 4 Add '31' to each side of the equation. -31 + 31 + -5x = 4 + 31 Combine like terms: -31 + 31 = 0 0 + -5x = 4 + 31 -5x = 4 + 31 Combine like terms: 4 + 31 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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