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Simplifying 69 = 6x + -3(-2x + 9) Reorder the terms: 69 = 6x + -3(9 + -2x) 69 = 6x + (9 * -3 + -2x * -3) 69 = 6x + (-27 + 6x) Reorder the terms: 69 = -27 + 6x + 6x Combine like terms: 6x + 6x = 12x 69 = -27 + 12x Solving 69 = -27 + 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. 69 + -12x = -27 + 12x + -12x Combine like terms: 12x + -12x = 0 69 + -12x = -27 + 0 69 + -12x = -27 Add '-69' to each side of the equation. 69 + -69 + -12x = -27 + -69 Combine like terms: 69 + -69 = 0 0 + -12x = -27 + -69 -12x = -27 + -69 Combine like terms: -27 + -69 = -96 -12x = -96 Divide each side by '-12'. x = 8 Simplifying x = 8
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