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Simplifying 3(x + -2) + -1(2 + -5x) = 4 + -1(2 + -3x) + -7x Reorder the terms: 3(-2 + x) + -1(2 + -5x) = 4 + -1(2 + -3x) + -7x (-2 * 3 + x * 3) + -1(2 + -5x) = 4 + -1(2 + -3x) + -7x (-6 + 3x) + -1(2 + -5x) = 4 + -1(2 + -3x) + -7x -6 + 3x + (2 * -1 + -5x * -1) = 4 + -1(2 + -3x) + -7x -6 + 3x + (-2 + 5x) = 4 + -1(2 + -3x) + -7x Reorder the terms: -6 + -2 + 3x + 5x = 4 + -1(2 + -3x) + -7x Combine like terms: -6 + -2 = -8 -8 + 3x + 5x = 4 + -1(2 + -3x) + -7x Combine like terms: 3x + 5x = 8x -8 + 8x = 4 + -1(2 + -3x) + -7x -8 + 8x = 4 + (2 * -1 + -3x * -1) + -7x -8 + 8x = 4 + (-2 + 3x) + -7x Combine like terms: 4 + -2 = 2 -8 + 8x = 2 + 3x + -7x Combine like terms: 3x + -7x = -4x -8 + 8x = 2 + -4x Solving -8 + 8x = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -8 + 8x + 4x = 2 + -4x + 4x Combine like terms: 8x + 4x = 12x -8 + 12x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 12x = 2 + 0 -8 + 12x = 2 Add '8' to each side of the equation. -8 + 8 + 12x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = 2 + 8 12x = 2 + 8 Combine like terms: 2 + 8 = 10 12x = 10 Divide each side by '12'. x = 0.8333333333 Simplifying x = 0.8333333333
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