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Simplifying 10(x + 7) = 11(x + -2) Reorder the terms: 10(7 + x) = 11(x + -2) (7 * 10 + x * 10) = 11(x + -2) (70 + 10x) = 11(x + -2) Reorder the terms: 70 + 10x = 11(-2 + x) 70 + 10x = (-2 * 11 + x * 11) 70 + 10x = (-22 + 11x) Solving 70 + 10x = -22 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 70 + 10x + -11x = -22 + 11x + -11x Combine like terms: 10x + -11x = -1x 70 + -1x = -22 + 11x + -11x Combine like terms: 11x + -11x = 0 70 + -1x = -22 + 0 70 + -1x = -22 Add '-70' to each side of the equation. 70 + -70 + -1x = -22 + -70 Combine like terms: 70 + -70 = 0 0 + -1x = -22 + -70 -1x = -22 + -70 Combine like terms: -22 + -70 = -92 -1x = -92 Divide each side by '-1'. x = 92 Simplifying x = 92
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