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Simplifying 3x + 1 + 5x = 17 + 15 + 7x Reorder the terms: 1 + 3x + 5x = 17 + 15 + 7x Combine like terms: 3x + 5x = 8x 1 + 8x = 17 + 15 + 7x Combine like terms: 17 + 15 = 32 1 + 8x = 32 + 7x Solving 1 + 8x = 32 + 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. 1 + 8x + -7x = 32 + 7x + -7x Combine like terms: 8x + -7x = 1x 1 + 1x = 32 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + 1x = 32 + 0 1 + 1x = 32 Add '-1' to each side of the equation. 1 + -1 + 1x = 32 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 32 + -1 1x = 32 + -1 Combine like terms: 32 + -1 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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