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Simplifying 6 + -4(2x + -5) = 4x + 14 Reorder the terms: 6 + -4(-5 + 2x) = 4x + 14 6 + (-5 * -4 + 2x * -4) = 4x + 14 6 + (20 + -8x) = 4x + 14 Combine like terms: 6 + 20 = 26 26 + -8x = 4x + 14 Reorder the terms: 26 + -8x = 14 + 4x Solving 26 + -8x = 14 + 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. 26 + -8x + -4x = 14 + 4x + -4x Combine like terms: -8x + -4x = -12x 26 + -12x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 26 + -12x = 14 + 0 26 + -12x = 14 Add '-26' to each side of the equation. 26 + -26 + -12x = 14 + -26 Combine like terms: 26 + -26 = 0 0 + -12x = 14 + -26 -12x = 14 + -26 Combine like terms: 14 + -26 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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