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Simplifying 3x + 17 + 5 = 7x + 10 Reorder the terms: 17 + 5 + 3x = 7x + 10 Combine like terms: 17 + 5 = 22 22 + 3x = 7x + 10 Reorder the terms: 22 + 3x = 10 + 7x Solving 22 + 3x = 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. 22 + 3x + -7x = 10 + 7x + -7x Combine like terms: 3x + -7x = -4x 22 + -4x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 22 + -4x = 10 + 0 22 + -4x = 10 Add '-22' to each side of the equation. 22 + -22 + -4x = 10 + -22 Combine like terms: 22 + -22 = 0 0 + -4x = 10 + -22 -4x = 10 + -22 Combine like terms: 10 + -22 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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