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Simplifying 2(-9x + 14) + -5(x + -18) = 0 Reorder the terms: 2(14 + -9x) + -5(x + -18) = 0 (14 * 2 + -9x * 2) + -5(x + -18) = 0 (28 + -18x) + -5(x + -18) = 0 Reorder the terms: 28 + -18x + -5(-18 + x) = 0 28 + -18x + (-18 * -5 + x * -5) = 0 28 + -18x + (90 + -5x) = 0 Reorder the terms: 28 + 90 + -18x + -5x = 0 Combine like terms: 28 + 90 = 118 118 + -18x + -5x = 0 Combine like terms: -18x + -5x = -23x 118 + -23x = 0 Solving 118 + -23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-118' to each side of the equation. 118 + -118 + -23x = 0 + -118 Combine like terms: 118 + -118 = 0 0 + -23x = 0 + -118 -23x = 0 + -118 Combine like terms: 0 + -118 = -118 -23x = -118 Divide each side by '-23'. x = 5.130434783 Simplifying x = 5.130434783
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