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Simplifying 6(x + 3) = 9x + 12 Reorder the terms: 6(3 + x) = 9x + 12 (3 * 6 + x * 6) = 9x + 12 (18 + 6x) = 9x + 12 Reorder the terms: 18 + 6x = 12 + 9x Solving 18 + 6x = 12 + 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. 18 + 6x + -9x = 12 + 9x + -9x Combine like terms: 6x + -9x = -3x 18 + -3x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 18 + -3x = 12 + 0 18 + -3x = 12 Add '-18' to each side of the equation. 18 + -18 + -3x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -3x = 12 + -18 -3x = 12 + -18 Combine like terms: 12 + -18 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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