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Simplifying 2x + -1(10 + -1x) = 30 + -1(10 + -1x) 2x + (10 * -1 + -1x * -1) = 30 + -1(10 + -1x) 2x + (-10 + 1x) = 30 + -1(10 + -1x) Reorder the terms: -10 + 2x + 1x = 30 + -1(10 + -1x) Combine like terms: 2x + 1x = 3x -10 + 3x = 30 + -1(10 + -1x) -10 + 3x = 30 + (10 * -1 + -1x * -1) -10 + 3x = 30 + (-10 + 1x) Combine like terms: 30 + -10 = 20 -10 + 3x = 20 + 1x Solving -10 + 3x = 20 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + 3x + -1x = 20 + 1x + -1x Combine like terms: 3x + -1x = 2x -10 + 2x = 20 + 1x + -1x Combine like terms: 1x + -1x = 0 -10 + 2x = 20 + 0 -10 + 2x = 20 Add '10' to each side of the equation. -10 + 10 + 2x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 20 + 10 2x = 20 + 10 Combine like terms: 20 + 10 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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