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Simplifying 31 + -1(x + 6) = 7x + -7 Reorder the terms: 31 + -1(6 + x) = 7x + -7 31 + (6 * -1 + x * -1) = 7x + -7 31 + (-6 + -1x) = 7x + -7 Combine like terms: 31 + -6 = 25 25 + -1x = 7x + -7 Reorder the terms: 25 + -1x = -7 + 7x Solving 25 + -1x = -7 + 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. 25 + -1x + -7x = -7 + 7x + -7x Combine like terms: -1x + -7x = -8x 25 + -8x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 25 + -8x = -7 + 0 25 + -8x = -7 Add '-25' to each side of the equation. 25 + -25 + -8x = -7 + -25 Combine like terms: 25 + -25 = 0 0 + -8x = -7 + -25 -8x = -7 + -25 Combine like terms: -7 + -25 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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