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Simplifying 7(x + -2) + 8 = -31 + 2x Reorder the terms: 7(-2 + x) + 8 = -31 + 2x (-2 * 7 + x * 7) + 8 = -31 + 2x (-14 + 7x) + 8 = -31 + 2x Reorder the terms: -14 + 8 + 7x = -31 + 2x Combine like terms: -14 + 8 = -6 -6 + 7x = -31 + 2x Solving -6 + 7x = -31 + 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. -6 + 7x + -2x = -31 + 2x + -2x Combine like terms: 7x + -2x = 5x -6 + 5x = -31 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 5x = -31 + 0 -6 + 5x = -31 Add '6' to each side of the equation. -6 + 6 + 5x = -31 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = -31 + 6 5x = -31 + 6 Combine like terms: -31 + 6 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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