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Simplifying 3x + -6 + 1 = -2 + -4x + -1(x + -1) Reorder the terms: -6 + 1 + 3x = -2 + -4x + -1(x + -1) Combine like terms: -6 + 1 = -5 -5 + 3x = -2 + -4x + -1(x + -1) Reorder the terms: -5 + 3x = -2 + -4x + -1(-1 + x) -5 + 3x = -2 + -4x + (-1 * -1 + x * -1) -5 + 3x = -2 + -4x + (1 + -1x) Reorder the terms: -5 + 3x = -2 + 1 + -4x + -1x Combine like terms: -2 + 1 = -1 -5 + 3x = -1 + -4x + -1x Combine like terms: -4x + -1x = -5x -5 + 3x = -1 + -5x Solving -5 + 3x = -1 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -5 + 3x + 5x = -1 + -5x + 5x Combine like terms: 3x + 5x = 8x -5 + 8x = -1 + -5x + 5x Combine like terms: -5x + 5x = 0 -5 + 8x = -1 + 0 -5 + 8x = -1 Add '5' to each side of the equation. -5 + 5 + 8x = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = -1 + 5 8x = -1 + 5 Combine like terms: -1 + 5 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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