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Simplifying 0x + 0(1 + -1x) = 4x + -1(1 + -1x) Anything times zero is zero. 0x + 0(1 + -1x) = 4x + -1(1 + -1x) Anything times zero is zero. 0 + 0(1 + -1x) = 4x + -1(1 + -1x) Combine like terms: 0 + 0 = 0 0 = 4x + -1(1 + -1x) 0 = 4x + (1 * -1 + -1x * -1) 0 = 4x + (-1 + 1x) Reorder the terms: 0 = -1 + 4x + 1x Combine like terms: 4x + 1x = 5x 0 = -1 + 5x Solving 0 = -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. 0 + -5x = -1 + 5x + -5x Remove the zero: -5x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 -5x = -1 + 0 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2
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