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