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Simplifying -6(2x + 1) + -14 = 10(x + 2) + -2x Reorder the terms: -6(1 + 2x) + -14 = 10(x + 2) + -2x (1 * -6 + 2x * -6) + -14 = 10(x + 2) + -2x (-6 + -12x) + -14 = 10(x + 2) + -2x Reorder the terms: -6 + -14 + -12x = 10(x + 2) + -2x Combine like terms: -6 + -14 = -20 -20 + -12x = 10(x + 2) + -2x Reorder the terms: -20 + -12x = 10(2 + x) + -2x -20 + -12x = (2 * 10 + x * 10) + -2x -20 + -12x = (20 + 10x) + -2x Combine like terms: 10x + -2x = 8x -20 + -12x = 20 + 8x Solving -20 + -12x = 20 + 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. -20 + -12x + -8x = 20 + 8x + -8x Combine like terms: -12x + -8x = -20x -20 + -20x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + -20x = 20 + 0 -20 + -20x = 20 Add '20' to each side of the equation. -20 + 20 + -20x = 20 + 20 Combine like terms: -20 + 20 = 0 0 + -20x = 20 + 20 -20x = 20 + 20 Combine like terms: 20 + 20 = 40 -20x = 40 Divide each side by '-20'. x = -2 Simplifying x = -2
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