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Simplifying 4(x + 1) = 5(x + -1) Reorder the terms: 4(1 + x) = 5(x + -1) (1 * 4 + x * 4) = 5(x + -1) (4 + 4x) = 5(x + -1) Reorder the terms: 4 + 4x = 5(-1 + x) 4 + 4x = (-1 * 5 + x * 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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