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Simplifying 5x + 40 = 8x + 17 Reorder the terms: 40 + 5x = 8x + 17 Reorder the terms: 40 + 5x = 17 + 8x Solving 40 + 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. 40 + 5x + -8x = 17 + 8x + -8x Combine like terms: 5x + -8x = -3x 40 + -3x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 40 + -3x = 17 + 0 40 + -3x = 17 Add '-40' to each side of the equation. 40 + -40 + -3x = 17 + -40 Combine like terms: 40 + -40 = 0 0 + -3x = 17 + -40 -3x = 17 + -40 Combine like terms: 17 + -40 = -23 -3x = -23 Divide each side by '-3'. x = 7.666666667 Simplifying x = 7.666666667
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