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Simplifying 2x + -1(3x + -10) = 12 + -1(2x + -3) Reorder the terms: 2x + -1(-10 + 3x) = 12 + -1(2x + -3) 2x + (-10 * -1 + 3x * -1) = 12 + -1(2x + -3) 2x + (10 + -3x) = 12 + -1(2x + -3) Reorder the terms: 10 + 2x + -3x = 12 + -1(2x + -3) Combine like terms: 2x + -3x = -1x 10 + -1x = 12 + -1(2x + -3) Reorder the terms: 10 + -1x = 12 + -1(-3 + 2x) 10 + -1x = 12 + (-3 * -1 + 2x * -1) 10 + -1x = 12 + (3 + -2x) Combine like terms: 12 + 3 = 15 10 + -1x = 15 + -2x Solving 10 + -1x = 15 + -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. 10 + -1x + 2x = 15 + -2x + 2x Combine like terms: -1x + 2x = 1x 10 + 1x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 1x = 15 + 0 10 + 1x = 15 Add '-10' to each side of the equation. 10 + -10 + 1x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 15 + -10 1x = 15 + -10 Combine like terms: 15 + -10 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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