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