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