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Simplifying 6x + 7(2x + -18) = 114 Reorder the terms: 6x + 7(-18 + 2x) = 114 6x + (-18 * 7 + 2x * 7) = 114 6x + (-126 + 14x) = 114 Reorder the terms: -126 + 6x + 14x = 114 Combine like terms: 6x + 14x = 20x -126 + 20x = 114 Solving -126 + 20x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '126' to each side of the equation. -126 + 126 + 20x = 114 + 126 Combine like terms: -126 + 126 = 0 0 + 20x = 114 + 126 20x = 114 + 126 Combine like terms: 114 + 126 = 240 20x = 240 Divide each side by '20'. x = 12 Simplifying x = 12
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