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Simplifying 14x + -2 = 2(6x + -8) Reorder the terms: -2 + 14x = 2(6x + -8) Reorder the terms: -2 + 14x = 2(-8 + 6x) -2 + 14x = (-8 * 2 + 6x * 2) -2 + 14x = (-16 + 12x) Solving -2 + 14x = -16 + 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. -2 + 14x + -12x = -16 + 12x + -12x Combine like terms: 14x + -12x = 2x -2 + 2x = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + 2x = -16 + 0 -2 + 2x = -16 Add '2' to each side of the equation. -2 + 2 + 2x = -16 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -16 + 2 2x = -16 + 2 Combine like terms: -16 + 2 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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