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Simplifying 9x + -17 = 4(2x + 5) + -3 Reorder the terms: -17 + 9x = 4(2x + 5) + -3 Reorder the terms: -17 + 9x = 4(5 + 2x) + -3 -17 + 9x = (5 * 4 + 2x * 4) + -3 -17 + 9x = (20 + 8x) + -3 Reorder the terms: -17 + 9x = 20 + -3 + 8x Combine like terms: 20 + -3 = 17 -17 + 9x = 17 + 8x Solving -17 + 9x = 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. -17 + 9x + -8x = 17 + 8x + -8x Combine like terms: 9x + -8x = 1x -17 + 1x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 -17 + 1x = 17 + 0 -17 + 1x = 17 Add '17' to each side of the equation. -17 + 17 + 1x = 17 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = 17 + 17 1x = 17 + 17 Combine like terms: 17 + 17 = 34 1x = 34 Divide each side by '1'. x = 34 Simplifying x = 34
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