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Simplifying 2x + -1(10x + -5) = 10 + -1(3 + 9x) Reorder the terms: 2x + -1(-5 + 10x) = 10 + -1(3 + 9x) 2x + (-5 * -1 + 10x * -1) = 10 + -1(3 + 9x) 2x + (5 + -10x) = 10 + -1(3 + 9x) Reorder the terms: 5 + 2x + -10x = 10 + -1(3 + 9x) Combine like terms: 2x + -10x = -8x 5 + -8x = 10 + -1(3 + 9x) 5 + -8x = 10 + (3 * -1 + 9x * -1) 5 + -8x = 10 + (-3 + -9x) Combine like terms: 10 + -3 = 7 5 + -8x = 7 + -9x Solving 5 + -8x = 7 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 5 + -8x + 9x = 7 + -9x + 9x Combine like terms: -8x + 9x = 1x 5 + 1x = 7 + -9x + 9x Combine like terms: -9x + 9x = 0 5 + 1x = 7 + 0 5 + 1x = 7 Add '-5' to each side of the equation. 5 + -5 + 1x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 7 + -5 1x = 7 + -5 Combine like terms: 7 + -5 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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