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Simplifying 2x + 3 + -1(3x + -8) = 12 + (2x + -1) Reorder the terms: 2x + 3 + -1(-8 + 3x) = 12 + (2x + -1) 2x + 3 + (-8 * -1 + 3x * -1) = 12 + (2x + -1) 2x + 3 + (8 + -3x) = 12 + (2x + -1) Reorder the terms: 3 + 8 + 2x + -3x = 12 + (2x + -1) Combine like terms: 3 + 8 = 11 11 + 2x + -3x = 12 + (2x + -1) Combine like terms: 2x + -3x = -1x 11 + -1x = 12 + (2x + -1) Reorder the terms: 11 + -1x = 12 + (-1 + 2x) Remove parenthesis around (-1 + 2x) 11 + -1x = 12 + -1 + 2x Combine like terms: 12 + -1 = 11 11 + -1x = 11 + 2x Add '-11' to each side of the equation. 11 + -11 + -1x = 11 + -11 + 2x Combine like terms: 11 + -11 = 0 0 + -1x = 11 + -11 + 2x -1x = 11 + -11 + 2x Combine like terms: 11 + -11 = 0 -1x = 0 + 2x -1x = 2x Solving -1x = 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. -1x + -2x = 2x + -2x Combine like terms: -1x + -2x = -3x -3x = 2x + -2x Combine like terms: 2x + -2x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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