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Simplifying 10x + 5 = 11x + -2 Reorder the terms: 5 + 10x = 11x + -2 Reorder the terms: 5 + 10x = -2 + 11x Solving 5 + 10x = -2 + 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. 5 + 10x + -11x = -2 + 11x + -11x Combine like terms: 10x + -11x = -1x 5 + -1x = -2 + 11x + -11x Combine like terms: 11x + -11x = 0 5 + -1x = -2 + 0 5 + -1x = -2 Add '-5' to each side of the equation. 5 + -5 + -1x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -2 + -5 -1x = -2 + -5 Combine like terms: -2 + -5 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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