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Simplifying 10x + 14x + 28 = 12x + 35 Reorder the terms: 28 + 10x + 14x = 12x + 35 Combine like terms: 10x + 14x = 24x 28 + 24x = 12x + 35 Reorder the terms: 28 + 24x = 35 + 12x Solving 28 + 24x = 35 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 28 + 24x + -12x = 35 + 12x + -12x Combine like terms: 24x + -12x = 12x 28 + 12x = 35 + 12x + -12x Combine like terms: 12x + -12x = 0 28 + 12x = 35 + 0 28 + 12x = 35 Add '-28' to each side of the equation. 28 + -28 + 12x = 35 + -28 Combine like terms: 28 + -28 = 0 0 + 12x = 35 + -28 12x = 35 + -28 Combine like terms: 35 + -28 = 7 12x = 7 Divide each side by '12'. x = 0.5833333333 Simplifying x = 0.5833333333
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