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Simplifying 2x + -1(3x + -10) = 12 + -2(2x + -3) Reorder the terms: 2x + -1(-10 + 3x) = 12 + -2(2x + -3) 2x + (-10 * -1 + 3x * -1) = 12 + -2(2x + -3) 2x + (10 + -3x) = 12 + -2(2x + -3) Reorder the terms: 10 + 2x + -3x = 12 + -2(2x + -3) Combine like terms: 2x + -3x = -1x 10 + -1x = 12 + -2(2x + -3) Reorder the terms: 10 + -1x = 12 + -2(-3 + 2x) 10 + -1x = 12 + (-3 * -2 + 2x * -2) 10 + -1x = 12 + (6 + -4x) Combine like terms: 12 + 6 = 18 10 + -1x = 18 + -4x Solving 10 + -1x = 18 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 10 + -1x + 4x = 18 + -4x + 4x Combine like terms: -1x + 4x = 3x 10 + 3x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 3x = 18 + 0 10 + 3x = 18 Add '-10' to each side of the equation. 10 + -10 + 3x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 18 + -10 3x = 18 + -10 Combine like terms: 18 + -10 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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