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Simplifying 1x + -5(1 + -1x) = -4x + 0(1 + -1x) 1x + (1 * -5 + -1x * -5) = -4x + 0(1 + -1x) 1x + (-5 + 5x) = -4x + 0(1 + -1x) Reorder the terms: -5 + 1x + 5x = -4x + 0(1 + -1x) Combine like terms: 1x + 5x = 6x -5 + 6x = -4x + 0(1 + -1x) Anything times zero is zero. -5 + 6x = -4x + 0(1 + -1x) Reorder the terms: -5 + 6x = 0 + -4x Remove the zero: -5 + 6x = -4x Solving -5 + 6x = -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. -5 + 6x + 4x = -4x + 4x Combine like terms: 6x + 4x = 10x -5 + 10x = -4x + 4x Combine like terms: -4x + 4x = 0 -5 + 10x = 0 Add '5' to each side of the equation. -5 + 5 + 10x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 10x = 0 + 5 10x = 0 + 5 Combine like terms: 0 + 5 = 5 10x = 5 Divide each side by '10'. x = 0.5 Simplifying x = 0.5
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