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Simplifying (5x) + 1 = (4x) + 6 Reorder the terms: 1 + (5x) = (4x) + 6 Reorder the terms: 1 + (5x) = 6 + (4x) Solving 1 + (5x) = 6 + (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. 1 + (5x) + (-4x) = 6 + (4x) + (-4x) Combine like terms: (5x) + (-4x) = 1x 1 + 1x = 6 + (4x) + (-4x) Combine like terms: (4x) + (-4x) = 0 1 + 1x = 6 + 0 1 + 1x = 6 Add '-1' to each side of the equation. 1 + -1 + 1x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 6 + -1 1x = 6 + -1 Combine like terms: 6 + -1 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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