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Simplifying 6x + -6(2x + 14) = -114 Reorder the terms: 6x + -6(14 + 2x) = -114 6x + (14 * -6 + 2x * -6) = -114 6x + (-84 + -12x) = -114 Reorder the terms: -84 + 6x + -12x = -114 Combine like terms: 6x + -12x = -6x -84 + -6x = -114 Solving -84 + -6x = -114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + -6x = -114 + 84 Combine like terms: -84 + 84 = 0 0 + -6x = -114 + 84 -6x = -114 + 84 Combine like terms: -114 + 84 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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