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Simplifying 2(6x + 5) = 4(2x + -5) + 14x Reorder the terms: 2(5 + 6x) = 4(2x + -5) + 14x (5 * 2 + 6x * 2) = 4(2x + -5) + 14x (10 + 12x) = 4(2x + -5) + 14x Reorder the terms: 10 + 12x = 4(-5 + 2x) + 14x 10 + 12x = (-5 * 4 + 2x * 4) + 14x 10 + 12x = (-20 + 8x) + 14x Combine like terms: 8x + 14x = 22x 10 + 12x = -20 + 22x Solving 10 + 12x = -20 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 10 + 12x + -22x = -20 + 22x + -22x Combine like terms: 12x + -22x = -10x 10 + -10x = -20 + 22x + -22x Combine like terms: 22x + -22x = 0 10 + -10x = -20 + 0 10 + -10x = -20 Add '-10' to each side of the equation. 10 + -10 + -10x = -20 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = -20 + -10 -10x = -20 + -10 Combine like terms: -20 + -10 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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