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Simplifying 7(x + -2) = 2x + 31 Reorder the terms: 7(-2 + x) = 2x + 31 (-2 * 7 + x * 7) = 2x + 31 (-14 + 7x) = 2x + 31 Reorder the terms: -14 + 7x = 31 + 2x Solving -14 + 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. -14 + 7x + -2x = 31 + 2x + -2x Combine like terms: 7x + -2x = 5x -14 + 5x = 31 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 5x = 31 + 0 -14 + 5x = 31 Add '14' to each side of the equation. -14 + 14 + 5x = 31 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = 31 + 14 5x = 31 + 14 Combine like terms: 31 + 14 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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