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Simplifying 12(x + 7) = 18x Reorder the terms: 12(7 + x) = 18x (7 * 12 + x * 12) = 18x (84 + 12x) = 18x Solving 84 + 12x = 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 84 + 12x + -18x = 18x + -18x Combine like terms: 12x + -18x = -6x 84 + -6x = 18x + -18x Combine like terms: 18x + -18x = 0 84 + -6x = 0 Add '-84' to each side of the equation. 84 + -84 + -6x = 0 + -84 Combine like terms: 84 + -84 = 0 0 + -6x = 0 + -84 -6x = 0 + -84 Combine like terms: 0 + -84 = -84 -6x = -84 Divide each side by '-6'. x = 14 Simplifying x = 14
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