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Simplifying 2(x + -6) + 5(x + 3) = 31 Reorder the terms: 2(-6 + x) + 5(x + 3) = 31 (-6 * 2 + x * 2) + 5(x + 3) = 31 (-12 + 2x) + 5(x + 3) = 31 Reorder the terms: -12 + 2x + 5(3 + x) = 31 -12 + 2x + (3 * 5 + x * 5) = 31 -12 + 2x + (15 + 5x) = 31 Reorder the terms: -12 + 15 + 2x + 5x = 31 Combine like terms: -12 + 15 = 3 3 + 2x + 5x = 31 Combine like terms: 2x + 5x = 7x 3 + 7x = 31 Solving 3 + 7x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7x = 31 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 31 + -3 7x = 31 + -3 Combine like terms: 31 + -3 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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