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Simplifying 6(x + 6) = 9x + 9 Reorder the terms: 6(6 + x) = 9x + 9 (6 * 6 + x * 6) = 9x + 9 (36 + 6x) = 9x + 9 Reorder the terms: 36 + 6x = 9 + 9x Solving 36 + 6x = 9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 36 + 6x + -9x = 9 + 9x + -9x Combine like terms: 6x + -9x = -3x 36 + -3x = 9 + 9x + -9x Combine like terms: 9x + -9x = 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 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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