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Simplifying 2(4x + 1) = 3(5x + 4) Reorder the terms: 2(1 + 4x) = 3(5x + 4) (1 * 2 + 4x * 2) = 3(5x + 4) (2 + 8x) = 3(5x + 4) Reorder the terms: 2 + 8x = 3(4 + 5x) 2 + 8x = (4 * 3 + 5x * 3) 2 + 8x = (12 + 15x) Solving 2 + 8x = 12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 2 + 8x + -15x = 12 + 15x + -15x Combine like terms: 8x + -15x = -7x 2 + -7x = 12 + 15x + -15x Combine like terms: 15x + -15x = 0 2 + -7x = 12 + 0 2 + -7x = 12 Add '-2' to each side of the equation. 2 + -2 + -7x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 12 + -2 -7x = 12 + -2 Combine like terms: 12 + -2 = 10 -7x = 10 Divide each side by '-7'. x = -1.428571429 Simplifying x = -1.428571429
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