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Simplifying 6(5x + 4) = 4x + 12 Reorder the terms: 6(4 + 5x) = 4x + 12 (4 * 6 + 5x * 6) = 4x + 12 (24 + 30x) = 4x + 12 Reorder the terms: 24 + 30x = 12 + 4x Solving 24 + 30x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 24 + 30x + -4x = 12 + 4x + -4x Combine like terms: 30x + -4x = 26x 24 + 26x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 26x = 12 + 0 24 + 26x = 12 Add '-24' to each side of the equation. 24 + -24 + 26x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 26x = 12 + -24 26x = 12 + -24 Combine like terms: 12 + -24 = -12 26x = -12 Divide each side by '26'. x = -0.4615384615 Simplifying x = -0.4615384615
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