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