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Simplifying 5(3 + -6x + -7x) + 6(9x + 6) = 7 Combine like terms: -6x + -7x = -13x 5(3 + -13x) + 6(9x + 6) = 7 (3 * 5 + -13x * 5) + 6(9x + 6) = 7 (15 + -65x) + 6(9x + 6) = 7 Reorder the terms: 15 + -65x + 6(6 + 9x) = 7 15 + -65x + (6 * 6 + 9x * 6) = 7 15 + -65x + (36 + 54x) = 7 Reorder the terms: 15 + 36 + -65x + 54x = 7 Combine like terms: 15 + 36 = 51 51 + -65x + 54x = 7 Combine like terms: -65x + 54x = -11x 51 + -11x = 7 Solving 51 + -11x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -11x = 7 + -51 Combine like terms: 51 + -51 = 0 0 + -11x = 7 + -51 -11x = 7 + -51 Combine like terms: 7 + -51 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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