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Simplifying 69 + -10x = 11 + -12(3x + -7) Reorder the terms: 69 + -10x = 11 + -12(-7 + 3x) 69 + -10x = 11 + (-7 * -12 + 3x * -12) 69 + -10x = 11 + (84 + -36x) Combine like terms: 11 + 84 = 95 69 + -10x = 95 + -36x Solving 69 + -10x = 95 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 69 + -10x + 36x = 95 + -36x + 36x Combine like terms: -10x + 36x = 26x 69 + 26x = 95 + -36x + 36x Combine like terms: -36x + 36x = 0 69 + 26x = 95 + 0 69 + 26x = 95 Add '-69' to each side of the equation. 69 + -69 + 26x = 95 + -69 Combine like terms: 69 + -69 = 0 0 + 26x = 95 + -69 26x = 95 + -69 Combine like terms: 95 + -69 = 26 26x = 26 Divide each side by '26'. x = 1 Simplifying x = 1
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