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Simplifying (5x) + 14 = (9x) + -14 Reorder the terms: 14 + (5x) = (9x) + -14 Reorder the terms: 14 + (5x) = -14 + (9x) Solving 14 + (5x) = -14 + (9x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-9x)' to each side of the equation. 14 + (5x) + (-9x) = -14 + (9x) + (-9x) Combine like terms: (5x) + (-9x) = -4x 14 + -4x = -14 + (9x) + (-9x) Combine like terms: (9x) + (-9x) = 0 14 + -4x = -14 + 0 14 + -4x = -14 Add '-14' to each side of the equation. 14 + -14 + -4x = -14 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = -14 + -14 -4x = -14 + -14 Combine like terms: -14 + -14 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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