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Simplifying 6(x + 6) = -9 + 3x Reorder the terms: 6(6 + x) = -9 + 3x (6 * 6 + x * 6) = -9 + 3x (36 + 6x) = -9 + 3x Solving 36 + 6x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 36 + 6x + -3x = -9 + 3x + -3x Combine like terms: 6x + -3x = 3x 36 + 3x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 36 + 3x = -9 + 0 36 + 3x = -9 Add '-36' to each side of the equation. 36 + -36 + 3x = -9 + -36 Combine like terms: 36 + -36 = 0 0 + 3x = -9 + -36 3x = -9 + -36 Combine like terms: -9 + -36 = -45 3x = -45 Divide each side by '3'. x = -15 Simplifying x = -15
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