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Simplifying 31 + -8x = 2(x + -7) + 5x Reorder the terms: 31 + -8x = 2(-7 + x) + 5x 31 + -8x = (-7 * 2 + x * 2) + 5x 31 + -8x = (-14 + 2x) + 5x Combine like terms: 2x + 5x = 7x 31 + -8x = -14 + 7x Solving 31 + -8x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 31 + -8x + -7x = -14 + 7x + -7x Combine like terms: -8x + -7x = -15x 31 + -15x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 31 + -15x = -14 + 0 31 + -15x = -14 Add '-31' to each side of the equation. 31 + -31 + -15x = -14 + -31 Combine like terms: 31 + -31 = 0 0 + -15x = -14 + -31 -15x = -14 + -31 Combine like terms: -14 + -31 = -45 -15x = -45 Divide each side by '-15'. x = 3 Simplifying x = 3
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