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Simplifying 2x + 10 + 3x + -8 = 4x + 17 Reorder the terms: 10 + -8 + 2x + 3x = 4x + 17 Combine like terms: 10 + -8 = 2 2 + 2x + 3x = 4x + 17 Combine like terms: 2x + 3x = 5x 2 + 5x = 4x + 17 Reorder the terms: 2 + 5x = 17 + 4x Solving 2 + 5x = 17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 5x + -4x = 17 + 4x + -4x Combine like terms: 5x + -4x = 1x 2 + 1x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 1x = 17 + 0 2 + 1x = 17 Add '-2' to each side of the equation. 2 + -2 + 1x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 17 + -2 1x = 17 + -2 Combine like terms: 17 + -2 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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