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Simplifying 5x + -4(1 + -1x) = 1x + 0(1 + -1x) 5x + (1 * -4 + -1x * -4) = 1x + 0(1 + -1x) 5x + (-4 + 4x) = 1x + 0(1 + -1x) Reorder the terms: -4 + 5x + 4x = 1x + 0(1 + -1x) Combine like terms: 5x + 4x = 9x -4 + 9x = 1x + 0(1 + -1x) Anything times zero is zero. -4 + 9x = 1x + 0(1 + -1x) Reorder the terms: -4 + 9x = 0 + 1x Remove the zero: -4 + 9x = 1x Solving -4 + 9x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 9x + -1x = 1x + -1x Combine like terms: 9x + -1x = 8x -4 + 8x = 1x + -1x Combine like terms: 1x + -1x = 0 -4 + 8x = 0 Add '4' to each side of the equation. -4 + 4 + 8x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 0 + 4 8x = 0 + 4 Combine like terms: 0 + 4 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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