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Simplifying 14x + -12 = 6(2x + -1) Reorder the terms: -12 + 14x = 6(2x + -1) Reorder the terms: -12 + 14x = 6(-1 + 2x) -12 + 14x = (-1 * 6 + 2x * 6) -12 + 14x = (-6 + 12x) Solving -12 + 14x = -6 + 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. -12 + 14x + -12x = -6 + 12x + -12x Combine like terms: 14x + -12x = 2x -12 + 2x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + 2x = -6 + 0 -12 + 2x = -6 Add '12' to each side of the equation. -12 + 12 + 2x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -6 + 12 2x = -6 + 12 Combine like terms: -6 + 12 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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