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Simplifying 7 + -2(x + -4) = 6x + 31 Reorder the terms: 7 + -2(-4 + x) = 6x + 31 7 + (-4 * -2 + x * -2) = 6x + 31 7 + (8 + -2x) = 6x + 31 Combine like terms: 7 + 8 = 15 15 + -2x = 6x + 31 Reorder the terms: 15 + -2x = 31 + 6x Solving 15 + -2x = 31 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + -2x + -6x = 31 + 6x + -6x Combine like terms: -2x + -6x = -8x 15 + -8x = 31 + 6x + -6x Combine like terms: 6x + -6x = 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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