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Simplifying 9(x + 3) + 3(x + 3) = 6x + -6 Reorder the terms: 9(3 + x) + 3(x + 3) = 6x + -6 (3 * 9 + x * 9) + 3(x + 3) = 6x + -6 (27 + 9x) + 3(x + 3) = 6x + -6 Reorder the terms: 27 + 9x + 3(3 + x) = 6x + -6 27 + 9x + (3 * 3 + x * 3) = 6x + -6 27 + 9x + (9 + 3x) = 6x + -6 Reorder the terms: 27 + 9 + 9x + 3x = 6x + -6 Combine like terms: 27 + 9 = 36 36 + 9x + 3x = 6x + -6 Combine like terms: 9x + 3x = 12x 36 + 12x = 6x + -6 Reorder the terms: 36 + 12x = -6 + 6x Solving 36 + 12x = -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. 36 + 12x + -6x = -6 + 6x + -6x Combine like terms: 12x + -6x = 6x 36 + 6x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 36 + 6x = -6 + 0 36 + 6x = -6 Add '-36' to each side of the equation. 36 + -36 + 6x = -6 + -36 Combine like terms: 36 + -36 = 0 0 + 6x = -6 + -36 6x = -6 + -36 Combine like terms: -6 + -36 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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