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Simplifying -5x + 4(1 + -1x) = -4x + 1(1 + -1x) -5x + (1 * 4 + -1x * 4) = -4x + 1(1 + -1x) -5x + (4 + -4x) = -4x + 1(1 + -1x) Reorder the terms: 4 + -5x + -4x = -4x + 1(1 + -1x) Combine like terms: -5x + -4x = -9x 4 + -9x = -4x + 1(1 + -1x) 4 + -9x = -4x + (1 * 1 + -1x * 1) 4 + -9x = -4x + (1 + -1x) Reorder the terms: 4 + -9x = 1 + -4x + -1x Combine like terms: -4x + -1x = -5x 4 + -9x = 1 + -5x Solving 4 + -9x = 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. 4 + -9x + 5x = 1 + -5x + 5x Combine like terms: -9x + 5x = -4x 4 + -4x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + -4x = 1 + 0 4 + -4x = 1 Add '-4' to each side of the equation. 4 + -4 + -4x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 1 + -4 -4x = 1 + -4 Combine like terms: 1 + -4 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75
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