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