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Simplifying 6(2x + 4) = 3x(12 + 5) Reorder the terms: 6(4 + 2x) = 3x(12 + 5) (4 * 6 + 2x * 6) = 3x(12 + 5) (24 + 12x) = 3x(12 + 5) Combine like terms: 12 + 5 = 17 24 + 12x = 3x(17) Reorder the terms for easier multiplication: 24 + 12x = 3 * 17x Multiply 3 * 17 24 + 12x = 51x Solving 24 + 12x = 51x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51x' to each side of the equation. 24 + 12x + -51x = 51x + -51x Combine like terms: 12x + -51x = -39x 24 + -39x = 51x + -51x Combine like terms: 51x + -51x = 0 24 + -39x = 0 Add '-24' to each side of the equation. 24 + -24 + -39x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -39x = 0 + -24 -39x = 0 + -24 Combine like terms: 0 + -24 = -24 -39x = -24 Divide each side by '-39'. x = 0.6153846154 Simplifying x = 0.6153846154
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