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Simplifying 5x + 5 + 2x = 5x + 15 + x Reorder the terms: 5 + 5x + 2x = 5x + 15 + x Combine like terms: 5x + 2x = 7x 5 + 7x = 5x + 15 + x Reorder the terms: 5 + 7x = 15 + 5x + x Combine like terms: 5x + x = 6x 5 + 7x = 15 + 6x Solving 5 + 7x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + 7x + -6x = 15 + 6x + -6x Combine like terms: 7x + -6x = 1x 5 + 1x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + 1x = 15 + 0 5 + 1x = 15 Add '-5' to each side of the equation. 5 + -5 + 1x = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 15 + -5 1x = 15 + -5 Combine like terms: 15 + -5 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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