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Simplifying 2(3 + -4x) = -8 + -3(2 + x) (3 * 2 + -4x * 2) = -8 + -3(2 + x) (6 + -8x) = -8 + -3(2 + x) 6 + -8x = -8 + (2 * -3 + x * -3) 6 + -8x = -8 + (-6 + -3x) Combine like terms: -8 + -6 = -14 6 + -8x = -14 + -3x Solving 6 + -8x = -14 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + -8x + 3x = -14 + -3x + 3x Combine like terms: -8x + 3x = -5x 6 + -5x = -14 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + -5x = -14 + 0 6 + -5x = -14 Add '-6' to each side of the equation. 6 + -6 + -5x = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = -14 + -6 -5x = -14 + -6 Combine like terms: -14 + -6 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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