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Simplifying 12x + 84 = 14x + 35 Reorder the terms: 84 + 12x = 14x + 35 Reorder the terms: 84 + 12x = 35 + 14x Solving 84 + 12x = 35 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 84 + 12x + -14x = 35 + 14x + -14x Combine like terms: 12x + -14x = -2x 84 + -2x = 35 + 14x + -14x Combine like terms: 14x + -14x = 0 84 + -2x = 35 + 0 84 + -2x = 35 Add '-84' to each side of the equation. 84 + -84 + -2x = 35 + -84 Combine like terms: 84 + -84 = 0 0 + -2x = 35 + -84 -2x = 35 + -84 Combine like terms: 35 + -84 = -49 -2x = -49 Divide each side by '-2'. x = 24.5 Simplifying x = 24.5
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