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Simplifying 9x + -9x = 8(12 + 12x) + -8(6x + 12) Combine like terms: 9x + -9x = 0 0 = 8(12 + 12x) + -8(6x + 12) 0 = (12 * 8 + 12x * 8) + -8(6x + 12) 0 = (96 + 96x) + -8(6x + 12) Reorder the terms: 0 = 96 + 96x + -8(12 + 6x) 0 = 96 + 96x + (12 * -8 + 6x * -8) 0 = 96 + 96x + (-96 + -48x) Reorder the terms: 0 = 96 + -96 + 96x + -48x Combine like terms: 96 + -96 = 0 0 = 0 + 96x + -48x 0 = 96x + -48x Combine like terms: 96x + -48x = 48x 0 = 48x Solving 0 = 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 0 + -48x = 48x + -48x Remove the zero: -48x = 48x + -48x Combine like terms: 48x + -48x = 0 -48x = 0 Divide each side by '-48'. x = 0 Simplifying x = 0
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