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Simplifying 5x + -2(3 + -1x) = -1(4 + x) 5x + (3 * -2 + -1x * -2) = -1(4 + x) 5x + (-6 + 2x) = -1(4 + x) Reorder the terms: -6 + 5x + 2x = -1(4 + x) Combine like terms: 5x + 2x = 7x -6 + 7x = -1(4 + x) -6 + 7x = (4 * -1 + x * -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 'x' to each side of the equation. -6 + 7x + x = -4 + -1x + x Combine like terms: 7x + x = 8x -6 + 8x = -4 + -1x + x Combine like terms: -1x + x = 0 -6 + 8x = -4 + 0 -6 + 8x = -4 Add '6' to each side of the equation. -6 + 6 + 8x = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = -4 + 6 8x = -4 + 6 Combine like terms: -4 + 6 = 2 8x = 2 Divide each side by '8'. x = 0.25 Simplifying x = 0.25
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