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Simplifying 9x + 16 = 10x + 14 Reorder the terms: 16 + 9x = 10x + 14 Reorder the terms: 16 + 9x = 14 + 10x Solving 16 + 9x = 14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 16 + 9x + -10x = 14 + 10x + -10x Combine like terms: 9x + -10x = -1x 16 + -1x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 16 + -1x = 14 + 0 16 + -1x = 14 Add '-16' to each side of the equation. 16 + -16 + -1x = 14 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 14 + -16 -1x = 14 + -16 Combine like terms: 14 + -16 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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