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Simplifying 6(2 + 4) = 4(3x + 6) Combine like terms: 2 + 4 = 6 6(6) = 4(3x + 6) Multiply 6 * 6 36 = 4(3x + 6) Reorder the terms: 36 = 4(6 + 3x) 36 = (6 * 4 + 3x * 4) 36 = (24 + 12x) Solving 36 = 24 + 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. 36 + -12x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 36 + -12x = 24 + 0 36 + -12x = 24 Add '-36' to each side of the equation. 36 + -36 + -12x = 24 + -36 Combine like terms: 36 + -36 = 0 0 + -12x = 24 + -36 -12x = 24 + -36 Combine like terms: 24 + -36 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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