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Simplifying 3x + 7 + 5x = 7x + 10 Reorder the terms: 7 + 3x + 5x = 7x + 10 Combine like terms: 3x + 5x = 8x 7 + 8x = 7x + 10 Reorder the terms: 7 + 8x = 10 + 7x Solving 7 + 8x = 10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 7 + 8x + -7x = 10 + 7x + -7x Combine like terms: 8x + -7x = 1x 7 + 1x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + 1x = 10 + 0 7 + 1x = 10 Add '-7' to each side of the equation. 7 + -7 + 1x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 10 + -7 1x = 10 + -7 Combine like terms: 10 + -7 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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