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Simplifying 5x + 17 + -2x + 3 = 22 + -8x + 3x + 6 Reorder the terms: 17 + 3 + 5x + -2x = 22 + -8x + 3x + 6 Combine like terms: 17 + 3 = 20 20 + 5x + -2x = 22 + -8x + 3x + 6 Combine like terms: 5x + -2x = 3x 20 + 3x = 22 + -8x + 3x + 6 Reorder the terms: 20 + 3x = 22 + 6 + -8x + 3x Combine like terms: 22 + 6 = 28 20 + 3x = 28 + -8x + 3x Combine like terms: -8x + 3x = -5x 20 + 3x = 28 + -5x Solving 20 + 3x = 28 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 20 + 3x + 5x = 28 + -5x + 5x Combine like terms: 3x + 5x = 8x 20 + 8x = 28 + -5x + 5x Combine like terms: -5x + 5x = 0 20 + 8x = 28 + 0 20 + 8x = 28 Add '-20' to each side of the equation. 20 + -20 + 8x = 28 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = 28 + -20 8x = 28 + -20 Combine like terms: 28 + -20 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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