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Simplifying 2x + 5 + 3x = 14 + -2x + -2 Reorder the terms: 5 + 2x + 3x = 14 + -2x + -2 Combine like terms: 2x + 3x = 5x 5 + 5x = 14 + -2x + -2 Reorder the terms: 5 + 5x = 14 + -2 + -2x Combine like terms: 14 + -2 = 12 5 + 5x = 12 + -2x Solving 5 + 5x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + 5x + 2x = 12 + -2x + 2x Combine like terms: 5x + 2x = 7x 5 + 7x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 7x = 12 + 0 5 + 7x = 12 Add '-5' to each side of the equation. 5 + -5 + 7x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 12 + -5 7x = 12 + -5 Combine like terms: 12 + -5 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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