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