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Simplifying 2(5x + 1) = 2x + -8x Reorder the terms: 2(1 + 5x) = 2x + -8x (1 * 2 + 5x * 2) = 2x + -8x (2 + 10x) = 2x + -8x Combine like terms: 2x + -8x = -6x 2 + 10x = -6x Solving 2 + 10x = -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. 2 + 10x + 6x = -6x + 6x Combine like terms: 10x + 6x = 16x 2 + 16x = -6x + 6x Combine like terms: -6x + 6x = 0 2 + 16x = 0 Add '-2' to each side of the equation. 2 + -2 + 16x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 16x = 0 + -2 16x = 0 + -2 Combine like terms: 0 + -2 = -2 16x = -2 Divide each side by '16'. x = -0.125 Simplifying x = -0.125
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