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Simplifying 3(6 + -4x) + -27x = 10x + -31 (6 * 3 + -4x * 3) + -27x = 10x + -31 (18 + -12x) + -27x = 10x + -31 Combine like terms: -12x + -27x = -39x 18 + -39x = 10x + -31 Reorder the terms: 18 + -39x = -31 + 10x Solving 18 + -39x = -31 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 18 + -39x + -10x = -31 + 10x + -10x Combine like terms: -39x + -10x = -49x 18 + -49x = -31 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + -49x = -31 + 0 18 + -49x = -31 Add '-18' to each side of the equation. 18 + -18 + -49x = -31 + -18 Combine like terms: 18 + -18 = 0 0 + -49x = -31 + -18 -49x = -31 + -18 Combine like terms: -31 + -18 = -49 -49x = -49 Divide each side by '-49'. x = 1 Simplifying x = 1
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