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Simplifying 3(5x + 1) = 2x + -8x Reorder the terms: 3(1 + 5x) = 2x + -8x (1 * 3 + 5x * 3) = 2x + -8x (3 + 15x) = 2x + -8x Combine like terms: 2x + -8x = -6x 3 + 15x = -6x Solving 3 + 15x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3 + 15x + 6x = -6x + 6x Combine like terms: 15x + 6x = 21x 3 + 21x = -6x + 6x Combine like terms: -6x + 6x = 0 3 + 21x = 0 Add '-3' to each side of the equation. 3 + -3 + 21x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 21x = 0 + -3 21x = 0 + -3 Combine like terms: 0 + -3 = -3 21x = -3 Divide each side by '21'. x = -0.1428571429 Simplifying x = -0.1428571429
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