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Simplifying 4(3x + 9) = 18 + -2(x + -9) Reorder the terms: 4(9 + 3x) = 18 + -2(x + -9) (9 * 4 + 3x * 4) = 18 + -2(x + -9) (36 + 12x) = 18 + -2(x + -9) Reorder the terms: 36 + 12x = 18 + -2(-9 + x) 36 + 12x = 18 + (-9 * -2 + x * -2) 36 + 12x = 18 + (18 + -2x) Combine like terms: 18 + 18 = 36 36 + 12x = 36 + -2x Add '-36' to each side of the equation. 36 + -36 + 12x = 36 + -36 + -2x Combine like terms: 36 + -36 = 0 0 + 12x = 36 + -36 + -2x 12x = 36 + -36 + -2x Combine like terms: 36 + -36 = 0 12x = 0 + -2x 12x = -2x Solving 12x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12x + 2x = -2x + 2x Combine like terms: 12x + 2x = 14x 14x = -2x + 2x Combine like terms: -2x + 2x = 0 14x = 0 Divide each side by '14'. x = 0 Simplifying x = 0
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