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Simplifying 11x + 9 = 10(x + -7) + -8 Reorder the terms: 9 + 11x = 10(x + -7) + -8 Reorder the terms: 9 + 11x = 10(-7 + x) + -8 9 + 11x = (-7 * 10 + x * 10) + -8 9 + 11x = (-70 + 10x) + -8 Reorder the terms: 9 + 11x = -70 + -8 + 10x Combine like terms: -70 + -8 = -78 9 + 11x = -78 + 10x Solving 9 + 11x = -78 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 9 + 11x + -10x = -78 + 10x + -10x Combine like terms: 11x + -10x = 1x 9 + 1x = -78 + 10x + -10x Combine like terms: 10x + -10x = 0 9 + 1x = -78 + 0 9 + 1x = -78 Add '-9' to each side of the equation. 9 + -9 + 1x = -78 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = -78 + -9 1x = -78 + -9 Combine like terms: -78 + -9 = -87 1x = -87 Divide each side by '1'. x = -87 Simplifying x = -87
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