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Simplifying 4(6x + 6) = 4x(9) Reorder the terms: 4(6 + 6x) = 4x(9) (6 * 4 + 6x * 4) = 4x(9) (24 + 24x) = 4x(9) Reorder the terms for easier multiplication: 24 + 24x = 4 * 9x Multiply 4 * 9 24 + 24x = 36x Solving 24 + 24x = 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 24 + 24x + -36x = 36x + -36x Combine like terms: 24x + -36x = -12x 24 + -12x = 36x + -36x Combine like terms: 36x + -36x = 0 24 + -12x = 0 Add '-24' to each side of the equation. 24 + -24 + -12x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -12x = 0 + -24 -12x = 0 + -24 Combine like terms: 0 + -24 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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