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Simplifying 2x + 7(1 + -1x) = 3x + 31 2x + (1 * 7 + -1x * 7) = 3x + 31 2x + (7 + -7x) = 3x + 31 Reorder the terms: 7 + 2x + -7x = 3x + 31 Combine like terms: 2x + -7x = -5x 7 + -5x = 3x + 31 Reorder the terms: 7 + -5x = 31 + 3x Solving 7 + -5x = 31 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + -5x + -3x = 31 + 3x + -3x Combine like terms: -5x + -3x = -8x 7 + -8x = 31 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -8x = 31 + 0 7 + -8x = 31 Add '-7' to each side of the equation. 7 + -7 + -8x = 31 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 31 + -7 -8x = 31 + -7 Combine like terms: 31 + -7 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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