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Simplifying 3(x + 6) = 4x + 9 Reorder the terms: 3(6 + x) = 4x + 9 (6 * 3 + x * 3) = 4x + 9 (18 + 3x) = 4x + 9 Reorder the terms: 18 + 3x = 9 + 4x Solving 18 + 3x = 9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + 3x + -4x = 9 + 4x + -4x Combine like terms: 3x + -4x = -1x 18 + -1x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -1x = 9 + 0 18 + -1x = 9 Add '-18' to each side of the equation. 18 + -18 + -1x = 9 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 9 + -18 -1x = 9 + -18 Combine like terms: 9 + -18 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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