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Simplifying 2(x + -2) + 4 = 6(2x + -1) + -14 Reorder the terms: 2(-2 + x) + 4 = 6(2x + -1) + -14 (-2 * 2 + x * 2) + 4 = 6(2x + -1) + -14 (-4 + 2x) + 4 = 6(2x + -1) + -14 Reorder the terms: -4 + 4 + 2x = 6(2x + -1) + -14 Combine like terms: -4 + 4 = 0 0 + 2x = 6(2x + -1) + -14 2x = 6(2x + -1) + -14 Reorder the terms: 2x = 6(-1 + 2x) + -14 2x = (-1 * 6 + 2x * 6) + -14 2x = (-6 + 12x) + -14 Reorder the terms: 2x = -6 + -14 + 12x Combine like terms: -6 + -14 = -20 2x = -20 + 12x Solving 2x = -20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 2x + -12x = -20 + 12x + -12x Combine like terms: 2x + -12x = -10x -10x = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 -10x = -20 + 0 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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