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Simplifying 7x + 23 + -6 = 6(5x + 9) Reorder the terms: 23 + -6 + 7x = 6(5x + 9) Combine like terms: 23 + -6 = 17 17 + 7x = 6(5x + 9) Reorder the terms: 17 + 7x = 6(9 + 5x) 17 + 7x = (9 * 6 + 5x * 6) 17 + 7x = (54 + 30x) Solving 17 + 7x = 54 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 17 + 7x + -30x = 54 + 30x + -30x Combine like terms: 7x + -30x = -23x 17 + -23x = 54 + 30x + -30x Combine like terms: 30x + -30x = 0 17 + -23x = 54 + 0 17 + -23x = 54 Add '-17' to each side of the equation. 17 + -17 + -23x = 54 + -17 Combine like terms: 17 + -17 = 0 0 + -23x = 54 + -17 -23x = 54 + -17 Combine like terms: 54 + -17 = 37 -23x = 37 Divide each side by '-23'. x = -1.608695652 Simplifying x = -1.608695652
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