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Simplifying 6x(1 + 4) = 4(4x + 1) Combine like terms: 1 + 4 = 5 6x(5) = 4(4x + 1) Reorder the terms for easier multiplication: 6 * 5x = 4(4x + 1) Multiply 6 * 5 30x = 4(4x + 1) Reorder the terms: 30x = 4(1 + 4x) 30x = (1 * 4 + 4x * 4) 30x = (4 + 16x) Solving 30x = 4 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 30x + -16x = 4 + 16x + -16x Combine like terms: 30x + -16x = 14x 14x = 4 + 16x + -16x Combine like terms: 16x + -16x = 0 14x = 4 + 0 14x = 4 Divide each side by '14'. x = 0.2857142857 Simplifying x = 0.2857142857
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