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Simplifying 31 + -1(x + 5) = 6x + -2 Reorder the terms: 31 + -1(5 + x) = 6x + -2 31 + (5 * -1 + x * -1) = 6x + -2 31 + (-5 + -1x) = 6x + -2 Combine like terms: 31 + -5 = 26 26 + -1x = 6x + -2 Reorder the terms: 26 + -1x = -2 + 6x Solving 26 + -1x = -2 + 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. 26 + -1x + -6x = -2 + 6x + -6x Combine like terms: -1x + -6x = -7x 26 + -7x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 26 + -7x = -2 + 0 26 + -7x = -2 Add '-26' to each side of the equation. 26 + -26 + -7x = -2 + -26 Combine like terms: 26 + -26 = 0 0 + -7x = -2 + -26 -7x = -2 + -26 Combine like terms: -2 + -26 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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