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Simplifying 4(2x + 9) = 9 + -3(x + -9) Reorder the terms: 4(9 + 2x) = 9 + -3(x + -9) (9 * 4 + 2x * 4) = 9 + -3(x + -9) (36 + 8x) = 9 + -3(x + -9) Reorder the terms: 36 + 8x = 9 + -3(-9 + x) 36 + 8x = 9 + (-9 * -3 + x * -3) 36 + 8x = 9 + (27 + -3x) Combine like terms: 9 + 27 = 36 36 + 8x = 36 + -3x Add '-36' to each side of the equation. 36 + -36 + 8x = 36 + -36 + -3x Combine like terms: 36 + -36 = 0 0 + 8x = 36 + -36 + -3x 8x = 36 + -36 + -3x Combine like terms: 36 + -36 = 0 8x = 0 + -3x 8x = -3x Solving 8x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8x + 3x = -3x + 3x Combine like terms: 8x + 3x = 11x 11x = -3x + 3x Combine like terms: -3x + 3x = 0 11x = 0 Divide each side by '11'. x = 0 Simplifying x = 0
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