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Simplifying 12(x + -6) + -6 = 22x + -138 Reorder the terms: 12(-6 + x) + -6 = 22x + -138 (-6 * 12 + x * 12) + -6 = 22x + -138 (-72 + 12x) + -6 = 22x + -138 Reorder the terms: -72 + -6 + 12x = 22x + -138 Combine like terms: -72 + -6 = -78 -78 + 12x = 22x + -138 Reorder the terms: -78 + 12x = -138 + 22x Solving -78 + 12x = -138 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -78 + 12x + -22x = -138 + 22x + -22x Combine like terms: 12x + -22x = -10x -78 + -10x = -138 + 22x + -22x Combine like terms: 22x + -22x = 0 -78 + -10x = -138 + 0 -78 + -10x = -138 Add '78' to each side of the equation. -78 + 78 + -10x = -138 + 78 Combine like terms: -78 + 78 = 0 0 + -10x = -138 + 78 -10x = -138 + 78 Combine like terms: -138 + 78 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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