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Simplifying 6(x + -14) + 5(x + -18) = 2 Reorder the terms: 6(-14 + x) + 5(x + -18) = 2 (-14 * 6 + x * 6) + 5(x + -18) = 2 (-84 + 6x) + 5(x + -18) = 2 Reorder the terms: -84 + 6x + 5(-18 + x) = 2 -84 + 6x + (-18 * 5 + x * 5) = 2 -84 + 6x + (-90 + 5x) = 2 Reorder the terms: -84 + -90 + 6x + 5x = 2 Combine like terms: -84 + -90 = -174 -174 + 6x + 5x = 2 Combine like terms: 6x + 5x = 11x -174 + 11x = 2 Solving -174 + 11x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '174' to each side of the equation. -174 + 174 + 11x = 2 + 174 Combine like terms: -174 + 174 = 0 0 + 11x = 2 + 174 11x = 2 + 174 Combine like terms: 2 + 174 = 176 11x = 176 Divide each side by '11'. x = 16 Simplifying x = 16
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