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Simplifying 9(x + 3) + 6(x + 3) = 6x + -6 Reorder the terms: 9(3 + x) + 6(x + 3) = 6x + -6 (3 * 9 + x * 9) + 6(x + 3) = 6x + -6 (27 + 9x) + 6(x + 3) = 6x + -6 Reorder the terms: 27 + 9x + 6(3 + x) = 6x + -6 27 + 9x + (3 * 6 + x * 6) = 6x + -6 27 + 9x + (18 + 6x) = 6x + -6 Reorder the terms: 27 + 18 + 9x + 6x = 6x + -6 Combine like terms: 27 + 18 = 45 45 + 9x + 6x = 6x + -6 Combine like terms: 9x + 6x = 15x 45 + 15x = 6x + -6 Reorder the terms: 45 + 15x = -6 + 6x Solving 45 + 15x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 45 + 15x + -6x = -6 + 6x + -6x Combine like terms: 15x + -6x = 9x 45 + 9x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + 9x = -6 + 0 45 + 9x = -6 Add '-45' to each side of the equation. 45 + -45 + 9x = -6 + -45 Combine like terms: 45 + -45 = 0 0 + 9x = -6 + -45 9x = -6 + -45 Combine like terms: -6 + -45 = -51 9x = -51 Divide each side by '9'. x = -5.666666667 Simplifying x = -5.666666667
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