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Simplifying 9(2x + -3) = 5(x + 4) + 7 Reorder the terms: 9(-3 + 2x) = 5(x + 4) + 7 (-3 * 9 + 2x * 9) = 5(x + 4) + 7 (-27 + 18x) = 5(x + 4) + 7 Reorder the terms: -27 + 18x = 5(4 + x) + 7 -27 + 18x = (4 * 5 + x * 5) + 7 -27 + 18x = (20 + 5x) + 7 Reorder the terms: -27 + 18x = 20 + 7 + 5x Combine like terms: 20 + 7 = 27 -27 + 18x = 27 + 5x Solving -27 + 18x = 27 + 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. -27 + 18x + -5x = 27 + 5x + -5x Combine like terms: 18x + -5x = 13x -27 + 13x = 27 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + 13x = 27 + 0 -27 + 13x = 27 Add '27' to each side of the equation. -27 + 27 + 13x = 27 + 27 Combine like terms: -27 + 27 = 0 0 + 13x = 27 + 27 13x = 27 + 27 Combine like terms: 27 + 27 = 54 13x = 54 Divide each side by '13'. x = 4.153846154 Simplifying x = 4.153846154
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