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