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Simplifying 6[2 + -1(4 + 2x)] + -2x = -14 + 2 + 14x 6[2 + (4 * -1 + 2x * -1)] + -2x = -14 + 2 + 14x 6[2 + (-4 + -2x)] + -2x = -14 + 2 + 14x Combine like terms: 2 + -4 = -2 6[-2 + -2x] + -2x = -14 + 2 + 14x [-2 * 6 + -2x * 6] + -2x = -14 + 2 + 14x [-12 + -12x] + -2x = -14 + 2 + 14x Combine like terms: -12x + -2x = -14x -12 + -14x = -14 + 2 + 14x Combine like terms: -14 + 2 = -12 -12 + -14x = -12 + 14x Add '12' to each side of the equation. -12 + 12 + -14x = -12 + 12 + 14x Combine like terms: -12 + 12 = 0 0 + -14x = -12 + 12 + 14x -14x = -12 + 12 + 14x Combine like terms: -12 + 12 = 0 -14x = 0 + 14x -14x = 14x Solving -14x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -14x + -14x = 14x + -14x Combine like terms: -14x + -14x = -28x -28x = 14x + -14x Combine like terms: 14x + -14x = 0 -28x = 0 Divide each side by '-28'. x = 0 Simplifying x = 0
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