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