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Simplifying 9(2x + 3) + -7 = 4 + -5(x + 6) Reorder the terms: 9(3 + 2x) + -7 = 4 + -5(x + 6) (3 * 9 + 2x * 9) + -7 = 4 + -5(x + 6) (27 + 18x) + -7 = 4 + -5(x + 6) Reorder the terms: 27 + -7 + 18x = 4 + -5(x + 6) Combine like terms: 27 + -7 = 20 20 + 18x = 4 + -5(x + 6) Reorder the terms: 20 + 18x = 4 + -5(6 + x) 20 + 18x = 4 + (6 * -5 + x * -5) 20 + 18x = 4 + (-30 + -5x) Combine like terms: 4 + -30 = -26 20 + 18x = -26 + -5x Solving 20 + 18x = -26 + -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. 20 + 18x + 5x = -26 + -5x + 5x Combine like terms: 18x + 5x = 23x 20 + 23x = -26 + -5x + 5x Combine like terms: -5x + 5x = 0 20 + 23x = -26 + 0 20 + 23x = -26 Add '-20' to each side of the equation. 20 + -20 + 23x = -26 + -20 Combine like terms: 20 + -20 = 0 0 + 23x = -26 + -20 23x = -26 + -20 Combine like terms: -26 + -20 = -46 23x = -46 Divide each side by '23'. x = -2 Simplifying x = -2
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