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Simplifying 10 + -1(5 + -2x) = 2 + -5(5 + 2x) 10 + (5 * -1 + -2x * -1) = 2 + -5(5 + 2x) 10 + (-5 + 2x) = 2 + -5(5 + 2x) Combine like terms: 10 + -5 = 5 5 + 2x = 2 + -5(5 + 2x) 5 + 2x = 2 + (5 * -5 + 2x * -5) 5 + 2x = 2 + (-25 + -10x) Combine like terms: 2 + -25 = -23 5 + 2x = -23 + -10x Solving 5 + 2x = -23 + -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. 5 + 2x + 10x = -23 + -10x + 10x Combine like terms: 2x + 10x = 12x 5 + 12x = -23 + -10x + 10x Combine like terms: -10x + 10x = 0 5 + 12x = -23 + 0 5 + 12x = -23 Add '-5' to each side of the equation. 5 + -5 + 12x = -23 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = -23 + -5 12x = -23 + -5 Combine like terms: -23 + -5 = -28 12x = -28 Divide each side by '12'. x = -2.333333333 Simplifying x = -2.333333333
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