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Simplifying 5x + -2(3 + -1x) = -1(4 + -1x) 5x + (3 * -2 + -1x * -2) = -1(4 + -1x) 5x + (-6 + 2x) = -1(4 + -1x) Reorder the terms: -6 + 5x + 2x = -1(4 + -1x) Combine like terms: 5x + 2x = 7x -6 + 7x = -1(4 + -1x) -6 + 7x = (4 * -1 + -1x * -1) -6 + 7x = (-4 + 1x) Solving -6 + 7x = -4 + 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. -6 + 7x + -1x = -4 + 1x + -1x Combine like terms: 7x + -1x = 6x -6 + 6x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + 6x = -4 + 0 -6 + 6x = -4 Add '6' to each side of the equation. -6 + 6 + 6x = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = -4 + 6 6x = -4 + 6 Combine like terms: -4 + 6 = 2 6x = 2 Divide each side by '6'. x = 0.3333333333 Simplifying x = 0.3333333333
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