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