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Simplifying 17 + 8x + 13 + -3x = 5x + 15 + -2x + 17 Reorder the terms: 17 + 13 + 8x + -3x = 5x + 15 + -2x + 17 Combine like terms: 17 + 13 = 30 30 + 8x + -3x = 5x + 15 + -2x + 17 Combine like terms: 8x + -3x = 5x 30 + 5x = 5x + 15 + -2x + 17 Reorder the terms: 30 + 5x = 15 + 17 + 5x + -2x Combine like terms: 15 + 17 = 32 30 + 5x = 32 + 5x + -2x Combine like terms: 5x + -2x = 3x 30 + 5x = 32 + 3x Solving 30 + 5x = 32 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 30 + 5x + -3x = 32 + 3x + -3x Combine like terms: 5x + -3x = 2x 30 + 2x = 32 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 2x = 32 + 0 30 + 2x = 32 Add '-30' to each side of the equation. 30 + -30 + 2x = 32 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 32 + -30 2x = 32 + -30 Combine like terms: 32 + -30 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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