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Simplifying 10x + 7 + 5x = 7x + 31 Reorder the terms: 7 + 10x + 5x = 7x + 31 Combine like terms: 10x + 5x = 15x 7 + 15x = 7x + 31 Reorder the terms: 7 + 15x = 31 + 7x Solving 7 + 15x = 31 + 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 + 15x + -7x = 31 + 7x + -7x Combine like terms: 15x + -7x = 8x 7 + 8x = 31 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + 8x = 31 + 0 7 + 8x = 31 Add '-7' to each side of the equation. 7 + -7 + 8x = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 31 + -7 8x = 31 + -7 Combine like terms: 31 + -7 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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