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Simplifying 42 + 8(x + -9) + -6 = 12(12 + -1x) Reorder the terms: 42 + 8(-9 + x) + -6 = 12(12 + -1x) 42 + (-9 * 8 + x * 8) + -6 = 12(12 + -1x) 42 + (-72 + 8x) + -6 = 12(12 + -1x) Reorder the terms: 42 + -72 + -6 + 8x = 12(12 + -1x) Combine like terms: 42 + -72 = -30 -30 + -6 + 8x = 12(12 + -1x) Combine like terms: -30 + -6 = -36 -36 + 8x = 12(12 + -1x) -36 + 8x = (12 * 12 + -1x * 12) -36 + 8x = (144 + -12x) Solving -36 + 8x = 144 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -36 + 8x + 12x = 144 + -12x + 12x Combine like terms: 8x + 12x = 20x -36 + 20x = 144 + -12x + 12x Combine like terms: -12x + 12x = 0 -36 + 20x = 144 + 0 -36 + 20x = 144 Add '36' to each side of the equation. -36 + 36 + 20x = 144 + 36 Combine like terms: -36 + 36 = 0 0 + 20x = 144 + 36 20x = 144 + 36 Combine like terms: 144 + 36 = 180 20x = 180 Divide each side by '20'. x = 9 Simplifying x = 9
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