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Simplifying 5x + 7 = 8x + -17 Reorder the terms: 7 + 5x = 8x + -17 Reorder the terms: 7 + 5x = -17 + 8x Solving 7 + 5x = -17 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7 + 5x + -8x = -17 + 8x + -8x Combine like terms: 5x + -8x = -3x 7 + -3x = -17 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -3x = -17 + 0 7 + -3x = -17 Add '-7' to each side of the equation. 7 + -7 + -3x = -17 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -17 + -7 -3x = -17 + -7 Combine like terms: -17 + -7 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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