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Simplifying 2(4x + 18) = 180 + -1(12x + 4) Reorder the terms: 2(18 + 4x) = 180 + -1(12x + 4) (18 * 2 + 4x * 2) = 180 + -1(12x + 4) (36 + 8x) = 180 + -1(12x + 4) Reorder the terms: 36 + 8x = 180 + -1(4 + 12x) 36 + 8x = 180 + (4 * -1 + 12x * -1) 36 + 8x = 180 + (-4 + -12x) Combine like terms: 180 + -4 = 176 36 + 8x = 176 + -12x Solving 36 + 8x = 176 + -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 = 176 + -12x + 12x Combine like terms: 8x + 12x = 20x 36 + 20x = 176 + -12x + 12x Combine like terms: -12x + 12x = 0 36 + 20x = 176 + 0 36 + 20x = 176 Add '-36' to each side of the equation. 36 + -36 + 20x = 176 + -36 Combine like terms: 36 + -36 = 0 0 + 20x = 176 + -36 20x = 176 + -36 Combine like terms: 176 + -36 = 140 20x = 140 Divide each side by '20'. x = 7 Simplifying x = 7
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