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Simplifying 6x + 2(3x + -7) = 118 Reorder the terms: 6x + 2(-7 + 3x) = 118 6x + (-7 * 2 + 3x * 2) = 118 6x + (-14 + 6x) = 118 Reorder the terms: -14 + 6x + 6x = 118 Combine like terms: 6x + 6x = 12x -14 + 12x = 118 Solving -14 + 12x = 118 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 12x = 118 + 14 Combine like terms: -14 + 14 = 0 0 + 12x = 118 + 14 12x = 118 + 14 Combine like terms: 118 + 14 = 132 12x = 132 Divide each side by '12'. x = 11 Simplifying x = 11
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