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Simplifying 14x + 84 = 15x + 75 Reorder the terms: 84 + 14x = 15x + 75 Reorder the terms: 84 + 14x = 75 + 15x Solving 84 + 14x = 75 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 84 + 14x + -15x = 75 + 15x + -15x Combine like terms: 14x + -15x = -1x 84 + -1x = 75 + 15x + -15x Combine like terms: 15x + -15x = 0 84 + -1x = 75 + 0 84 + -1x = 75 Add '-84' to each side of the equation. 84 + -84 + -1x = 75 + -84 Combine like terms: 84 + -84 = 0 0 + -1x = 75 + -84 -1x = 75 + -84 Combine like terms: 75 + -84 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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