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Simplifying 5(x + 2) + -1(5 + 6x) = -2x Reorder the terms: 5(2 + x) + -1(5 + 6x) = -2x (2 * 5 + x * 5) + -1(5 + 6x) = -2x (10 + 5x) + -1(5 + 6x) = -2x 10 + 5x + (5 * -1 + 6x * -1) = -2x 10 + 5x + (-5 + -6x) = -2x Reorder the terms: 10 + -5 + 5x + -6x = -2x Combine like terms: 10 + -5 = 5 5 + 5x + -6x = -2x Combine like terms: 5x + -6x = -1x 5 + -1x = -2x Solving 5 + -1x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + -1x + 2x = -2x + 2x Combine like terms: -1x + 2x = 1x 5 + 1x = -2x + 2x Combine like terms: -2x + 2x = 0 5 + 1x = 0 Add '-5' to each side of the equation. 5 + -5 + 1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 0 + -5 1x = 0 + -5 Combine like terms: 0 + -5 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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