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Simplifying 4x + 5x + (-3x) + 17 = -8x + -3 + 9x Reorder the terms: 17 + 4x + 5x + (-3x) = -8x + -3 + 9x Combine like terms: 4x + 5x = 9x 17 + 9x + (-3x) = -8x + -3 + 9x Combine like terms: 9x + (-3x) = 6x 17 + 6x = -8x + -3 + 9x Reorder the terms: 17 + 6x = -3 + -8x + 9x Combine like terms: -8x + 9x = 1x 17 + 6x = -3 + 1x Solving 17 + 6x = -3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 17 + 6x + -1x = -3 + 1x + -1x Combine like terms: 6x + -1x = 5x 17 + 5x = -3 + 1x + -1x Combine like terms: 1x + -1x = 0 17 + 5x = -3 + 0 17 + 5x = -3 Add '-17' to each side of the equation. 17 + -17 + 5x = -3 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = -3 + -17 5x = -3 + -17 Combine like terms: -3 + -17 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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