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Simplifying 2x + -7x + 15 = 3x + 31 Reorder the terms: 15 + 2x + -7x = 3x + 31 Combine like terms: 2x + -7x = -5x 15 + -5x = 3x + 31 Reorder the terms: 15 + -5x = 31 + 3x Solving 15 + -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. 15 + -5x + -3x = 31 + 3x + -3x Combine like terms: -5x + -3x = -8x 15 + -8x = 31 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + -8x = 31 + 0 15 + -8x = 31 Add '-15' to each side of the equation. 15 + -15 + -8x = 31 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = 31 + -15 -8x = 31 + -15 Combine like terms: 31 + -15 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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