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Simplifying 3(1 + -2x) = 2(5x + -1) (1 * 3 + -2x * 3) = 2(5x + -1) (3 + -6x) = 2(5x + -1) Reorder the terms: 3 + -6x = 2(-1 + 5x) 3 + -6x = (-1 * 2 + 5x * 2) 3 + -6x = (-2 + 10x) Solving 3 + -6x = -2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 3 + -6x + -10x = -2 + 10x + -10x Combine like terms: -6x + -10x = -16x 3 + -16x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + -16x = -2 + 0 3 + -16x = -2 Add '-3' to each side of the equation. 3 + -3 + -16x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -16x = -2 + -3 -16x = -2 + -3 Combine like terms: -2 + -3 = -5 -16x = -5 Divide each side by '-16'. x = 0.3125 Simplifying x = 0.3125
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