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Simplifying 2(5x + 1) = 3x + -8x Reorder the terms: 2(1 + 5x) = 3x + -8x (1 * 2 + 5x * 2) = 3x + -8x (2 + 10x) = 3x + -8x Combine like terms: 3x + -8x = -5x 2 + 10x = -5x Solving 2 + 10x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + 10x + 5x = -5x + 5x Combine like terms: 10x + 5x = 15x 2 + 15x = -5x + 5x Combine like terms: -5x + 5x = 0 2 + 15x = 0 Add '-2' to each side of the equation. 2 + -2 + 15x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 15x = 0 + -2 15x = 0 + -2 Combine like terms: 0 + -2 = -2 15x = -2 Divide each side by '15'. x = -0.1333333333 Simplifying x = -0.1333333333
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