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Simplifying 4(4x + 6) = 4(3x + 9) Reorder the terms: 4(6 + 4x) = 4(3x + 9) (6 * 4 + 4x * 4) = 4(3x + 9) (24 + 16x) = 4(3x + 9) Reorder the terms: 24 + 16x = 4(9 + 3x) 24 + 16x = (9 * 4 + 3x * 4) 24 + 16x = (36 + 12x) Solving 24 + 16x = 36 + 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. 24 + 16x + -12x = 36 + 12x + -12x Combine like terms: 16x + -12x = 4x 24 + 4x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + 4x = 36 + 0 24 + 4x = 36 Add '-24' to each side of the equation. 24 + -24 + 4x = 36 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 36 + -24 4x = 36 + -24 Combine like terms: 36 + -24 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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