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Simplifying 31 + -1(6x + 7) = 2(x + 3) + x Reorder the terms: 31 + -1(7 + 6x) = 2(x + 3) + x 31 + (7 * -1 + 6x * -1) = 2(x + 3) + x 31 + (-7 + -6x) = 2(x + 3) + x Combine like terms: 31 + -7 = 24 24 + -6x = 2(x + 3) + x Reorder the terms: 24 + -6x = 2(3 + x) + x 24 + -6x = (3 * 2 + x * 2) + x 24 + -6x = (6 + 2x) + x Combine like terms: 2x + x = 3x 24 + -6x = 6 + 3x Solving 24 + -6x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 24 + -6x + -3x = 6 + 3x + -3x Combine like terms: -6x + -3x = -9x 24 + -9x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + -9x = 6 + 0 24 + -9x = 6 Add '-24' to each side of the equation. 24 + -24 + -9x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -9x = 6 + -24 -9x = 6 + -24 Combine like terms: 6 + -24 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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