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Simplifying 14(3x + 6) = 18(3x) Reorder the terms: 14(6 + 3x) = 18(3x) (6 * 14 + 3x * 14) = 18(3x) (84 + 42x) = 18(3x) Remove parenthesis around (3x) 84 + 42x = 18 * 3x Multiply 18 * 3 84 + 42x = 54x Solving 84 + 42x = 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 84 + 42x + -54x = 54x + -54x Combine like terms: 42x + -54x = -12x 84 + -12x = 54x + -54x Combine like terms: 54x + -54x = 0 84 + -12x = 0 Add '-84' to each side of the equation. 84 + -84 + -12x = 0 + -84 Combine like terms: 84 + -84 = 0 0 + -12x = 0 + -84 -12x = 0 + -84 Combine like terms: 0 + -84 = -84 -12x = -84 Divide each side by '-12'. x = 7 Simplifying x = 7
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