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Simplifying 3(x + 6) + -1x = x + 4 + 31 Reorder the terms: 3(6 + x) + -1x = x + 4 + 31 (6 * 3 + x * 3) + -1x = x + 4 + 31 (18 + 3x) + -1x = x + 4 + 31 Combine like terms: 3x + -1x = 2x 18 + 2x = x + 4 + 31 Reorder the terms: 18 + 2x = 4 + 31 + x Combine like terms: 4 + 31 = 35 18 + 2x = 35 + x Solving 18 + 2x = 35 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 18 + 2x + -1x = 35 + x + -1x Combine like terms: 2x + -1x = 1x 18 + 1x = 35 + x + -1x Combine like terms: x + -1x = 0 18 + 1x = 35 + 0 18 + 1x = 35 Add '-18' to each side of the equation. 18 + -18 + 1x = 35 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 35 + -18 1x = 35 + -18 Combine like terms: 35 + -18 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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