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Simplifying 3x + 9 = 6 + -1(5x + -17) Reorder the terms: 9 + 3x = 6 + -1(5x + -17) Reorder the terms: 9 + 3x = 6 + -1(-17 + 5x) 9 + 3x = 6 + (-17 * -1 + 5x * -1) 9 + 3x = 6 + (17 + -5x) Combine like terms: 6 + 17 = 23 9 + 3x = 23 + -5x Solving 9 + 3x = 23 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 9 + 3x + 5x = 23 + -5x + 5x Combine like terms: 3x + 5x = 8x 9 + 8x = 23 + -5x + 5x Combine like terms: -5x + 5x = 0 9 + 8x = 23 + 0 9 + 8x = 23 Add '-9' to each side of the equation. 9 + -9 + 8x = 23 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 23 + -9 8x = 23 + -9 Combine like terms: 23 + -9 = 14 8x = 14 Divide each side by '8'. x = 1.75 Simplifying x = 1.75
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