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Simplifying 3(6x + 9) = 7x + -6 Reorder the terms: 3(9 + 6x) = 7x + -6 (9 * 3 + 6x * 3) = 7x + -6 (27 + 18x) = 7x + -6 Reorder the terms: 27 + 18x = -6 + 7x Solving 27 + 18x = -6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 27 + 18x + -7x = -6 + 7x + -7x Combine like terms: 18x + -7x = 11x 27 + 11x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 27 + 11x = -6 + 0 27 + 11x = -6 Add '-27' to each side of the equation. 27 + -27 + 11x = -6 + -27 Combine like terms: 27 + -27 = 0 0 + 11x = -6 + -27 11x = -6 + -27 Combine like terms: -6 + -27 = -33 11x = -33 Divide each side by '11'. x = -3 Simplifying x = -3
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