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Simplifying 9(2x + 5) + 6 = 6 + 3x Reorder the terms: 9(5 + 2x) + 6 = 6 + 3x (5 * 9 + 2x * 9) + 6 = 6 + 3x (45 + 18x) + 6 = 6 + 3x Reorder the terms: 45 + 6 + 18x = 6 + 3x Combine like terms: 45 + 6 = 51 51 + 18x = 6 + 3x Solving 51 + 18x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 51 + 18x + -3x = 6 + 3x + -3x Combine like terms: 18x + -3x = 15x 51 + 15x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 51 + 15x = 6 + 0 51 + 15x = 6 Add '-51' to each side of the equation. 51 + -51 + 15x = 6 + -51 Combine like terms: 51 + -51 = 0 0 + 15x = 6 + -51 15x = 6 + -51 Combine like terms: 6 + -51 = -45 15x = -45 Divide each side by '15'. x = -3 Simplifying x = -3
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