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Simplifying 9(x + 2) + 6(x + 2) = 6x + -6 Reorder the terms: 9(2 + x) + 6(x + 2) = 6x + -6 (2 * 9 + x * 9) + 6(x + 2) = 6x + -6 (18 + 9x) + 6(x + 2) = 6x + -6 Reorder the terms: 18 + 9x + 6(2 + x) = 6x + -6 18 + 9x + (2 * 6 + x * 6) = 6x + -6 18 + 9x + (12 + 6x) = 6x + -6 Reorder the terms: 18 + 12 + 9x + 6x = 6x + -6 Combine like terms: 18 + 12 = 30 30 + 9x + 6x = 6x + -6 Combine like terms: 9x + 6x = 15x 30 + 15x = 6x + -6 Reorder the terms: 30 + 15x = -6 + 6x Solving 30 + 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. 30 + 15x + -6x = -6 + 6x + -6x Combine like terms: 15x + -6x = 9x 30 + 9x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + 9x = -6 + 0 30 + 9x = -6 Add '-30' to each side of the equation. 30 + -30 + 9x = -6 + -30 Combine like terms: 30 + -30 = 0 0 + 9x = -6 + -30 9x = -6 + -30 Combine like terms: -6 + -30 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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