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Simplifying 5x + -17 + 3x + -5 = 6x + -7 + -8x + 115 Reorder the terms: -17 + -5 + 5x + 3x = 6x + -7 + -8x + 115 Combine like terms: -17 + -5 = -22 -22 + 5x + 3x = 6x + -7 + -8x + 115 Combine like terms: 5x + 3x = 8x -22 + 8x = 6x + -7 + -8x + 115 Reorder the terms: -22 + 8x = -7 + 115 + 6x + -8x Combine like terms: -7 + 115 = 108 -22 + 8x = 108 + 6x + -8x Combine like terms: 6x + -8x = -2x -22 + 8x = 108 + -2x Solving -22 + 8x = 108 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -22 + 8x + 2x = 108 + -2x + 2x Combine like terms: 8x + 2x = 10x -22 + 10x = 108 + -2x + 2x Combine like terms: -2x + 2x = 0 -22 + 10x = 108 + 0 -22 + 10x = 108 Add '22' to each side of the equation. -22 + 22 + 10x = 108 + 22 Combine like terms: -22 + 22 = 0 0 + 10x = 108 + 22 10x = 108 + 22 Combine like terms: 108 + 22 = 130 10x = 130 Divide each side by '10'. x = 13 Simplifying x = 13
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