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Simplifying 2(1 + -5x) = 2(3x + 2) (1 * 2 + -5x * 2) = 2(3x + 2) (2 + -10x) = 2(3x + 2) Reorder the terms: 2 + -10x = 2(2 + 3x) 2 + -10x = (2 * 2 + 3x * 2) 2 + -10x = (4 + 6x) Solving 2 + -10x = 4 + 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 = 4 + 6x + -6x Combine like terms: -10x + -6x = -16x 2 + -16x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -16x = 4 + 0 2 + -16x = 4 Add '-2' to each side of the equation. 2 + -2 + -16x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -16x = 4 + -2 -16x = 4 + -2 Combine like terms: 4 + -2 = 2 -16x = 2 Divide each side by '-16'. x = -0.125 Simplifying x = -0.125
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