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Simplifying 3(6 + -4x) + -22x = 10x + -31 (6 * 3 + -4x * 3) + -22x = 10x + -31 (18 + -12x) + -22x = 10x + -31 Combine like terms: -12x + -22x = -34x 18 + -34x = 10x + -31 Reorder the terms: 18 + -34x = -31 + 10x Solving 18 + -34x = -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 + -34x + -10x = -31 + 10x + -10x Combine like terms: -34x + -10x = -44x 18 + -44x = -31 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + -44x = -31 + 0 18 + -44x = -31 Add '-18' to each side of the equation. 18 + -18 + -44x = -31 + -18 Combine like terms: 18 + -18 = 0 0 + -44x = -31 + -18 -44x = -31 + -18 Combine like terms: -31 + -18 = -49 -44x = -49 Divide each side by '-44'. x = 1.113636364 Simplifying x = 1.113636364
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