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Simplifying (3 + -2x) + -1(14 + -6x) = 3 + -2(4x + -5) Remove parenthesis around (3 + -2x) 3 + -2x + -1(14 + -6x) = 3 + -2(4x + -5) 3 + -2x + (14 * -1 + -6x * -1) = 3 + -2(4x + -5) 3 + -2x + (-14 + 6x) = 3 + -2(4x + -5) Reorder the terms: 3 + -14 + -2x + 6x = 3 + -2(4x + -5) Combine like terms: 3 + -14 = -11 -11 + -2x + 6x = 3 + -2(4x + -5) Combine like terms: -2x + 6x = 4x -11 + 4x = 3 + -2(4x + -5) Reorder the terms: -11 + 4x = 3 + -2(-5 + 4x) -11 + 4x = 3 + (-5 * -2 + 4x * -2) -11 + 4x = 3 + (10 + -8x) Combine like terms: 3 + 10 = 13 -11 + 4x = 13 + -8x Solving -11 + 4x = 13 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -11 + 4x + 8x = 13 + -8x + 8x Combine like terms: 4x + 8x = 12x -11 + 12x = 13 + -8x + 8x Combine like terms: -8x + 8x = 0 -11 + 12x = 13 + 0 -11 + 12x = 13 Add '11' to each side of the equation. -11 + 11 + 12x = 13 + 11 Combine like terms: -11 + 11 = 0 0 + 12x = 13 + 11 12x = 13 + 11 Combine like terms: 13 + 11 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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