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Simplifying -5(-1x + -1) + -2(4 + -1x) + -3 = 2(x + -1) Reorder the terms: -5(-1 + -1x) + -2(4 + -1x) + -3 = 2(x + -1) (-1 * -5 + -1x * -5) + -2(4 + -1x) + -3 = 2(x + -1) (5 + 5x) + -2(4 + -1x) + -3 = 2(x + -1) 5 + 5x + (4 * -2 + -1x * -2) + -3 = 2(x + -1) 5 + 5x + (-8 + 2x) + -3 = 2(x + -1) Reorder the terms: 5 + -8 + -3 + 5x + 2x = 2(x + -1) Combine like terms: 5 + -8 = -3 -3 + -3 + 5x + 2x = 2(x + -1) Combine like terms: -3 + -3 = -6 -6 + 5x + 2x = 2(x + -1) Combine like terms: 5x + 2x = 7x -6 + 7x = 2(x + -1) Reorder the terms: -6 + 7x = 2(-1 + x) -6 + 7x = (-1 * 2 + x * 2) -6 + 7x = (-2 + 2x) Solving -6 + 7x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 7x + -2x = -2 + 2x + -2x Combine like terms: 7x + -2x = 5x -6 + 5x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 5x = -2 + 0 -6 + 5x = -2 Add '6' to each side of the equation. -6 + 6 + 5x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = -2 + 6 5x = -2 + 6 Combine like terms: -2 + 6 = 4 5x = 4 Divide each side by '5'. x = 0.8 Simplifying x = 0.8
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