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Simplifying 12(3x + 4) = 6(7x + 2) Reorder the terms: 12(4 + 3x) = 6(7x + 2) (4 * 12 + 3x * 12) = 6(7x + 2) (48 + 36x) = 6(7x + 2) Reorder the terms: 48 + 36x = 6(2 + 7x) 48 + 36x = (2 * 6 + 7x * 6) 48 + 36x = (12 + 42x) Solving 48 + 36x = 12 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 48 + 36x + -42x = 12 + 42x + -42x Combine like terms: 36x + -42x = -6x 48 + -6x = 12 + 42x + -42x Combine like terms: 42x + -42x = 0 48 + -6x = 12 + 0 48 + -6x = 12 Add '-48' to each side of the equation. 48 + -48 + -6x = 12 + -48 Combine like terms: 48 + -48 = 0 0 + -6x = 12 + -48 -6x = 12 + -48 Combine like terms: 12 + -48 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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