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Simplifying 3(6 + -4x) + -27 = 10x + -31 (6 * 3 + -4x * 3) + -27 = 10x + -31 (18 + -12x) + -27 = 10x + -31 Reorder the terms: 18 + -27 + -12x = 10x + -31 Combine like terms: 18 + -27 = -9 -9 + -12x = 10x + -31 Reorder the terms: -9 + -12x = -31 + 10x Solving -9 + -12x = -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. -9 + -12x + -10x = -31 + 10x + -10x Combine like terms: -12x + -10x = -22x -9 + -22x = -31 + 10x + -10x Combine like terms: 10x + -10x = 0 -9 + -22x = -31 + 0 -9 + -22x = -31 Add '9' to each side of the equation. -9 + 9 + -22x = -31 + 9 Combine like terms: -9 + 9 = 0 0 + -22x = -31 + 9 -22x = -31 + 9 Combine like terms: -31 + 9 = -22 -22x = -22 Divide each side by '-22'. x = 1 Simplifying x = 1
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