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Simplifying 5(2x + 2) + -1(11x + 2) = 0 Reorder the terms: 5(2 + 2x) + -1(11x + 2) = 0 (2 * 5 + 2x * 5) + -1(11x + 2) = 0 (10 + 10x) + -1(11x + 2) = 0 Reorder the terms: 10 + 10x + -1(2 + 11x) = 0 10 + 10x + (2 * -1 + 11x * -1) = 0 10 + 10x + (-2 + -11x) = 0 Reorder the terms: 10 + -2 + 10x + -11x = 0 Combine like terms: 10 + -2 = 8 8 + 10x + -11x = 0 Combine like terms: 10x + -11x = -1x 8 + -1x = 0 Solving 8 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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