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Simplifying 31 + -8x = 7 + -8(6x + 2) Reorder the terms: 31 + -8x = 7 + -8(2 + 6x) 31 + -8x = 7 + (2 * -8 + 6x * -8) 31 + -8x = 7 + (-16 + -48x) Combine like terms: 7 + -16 = -9 31 + -8x = -9 + -48x Solving 31 + -8x = -9 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. 31 + -8x + 48x = -9 + -48x + 48x Combine like terms: -8x + 48x = 40x 31 + 40x = -9 + -48x + 48x Combine like terms: -48x + 48x = 0 31 + 40x = -9 + 0 31 + 40x = -9 Add '-31' to each side of the equation. 31 + -31 + 40x = -9 + -31 Combine like terms: 31 + -31 = 0 0 + 40x = -9 + -31 40x = -9 + -31 Combine like terms: -9 + -31 = -40 40x = -40 Divide each side by '40'. x = -1 Simplifying x = -1
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