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Simplifying 7x + -4 = 6x + 1 Reorder the terms: -4 + 7x = 6x + 1 Reorder the terms: -4 + 7x = 1 + 6x Solving -4 + 7x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 7x + -6x = 1 + 6x + -6x Combine like terms: 7x + -6x = 1x -4 + 1x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 1x = 1 + 0 -4 + 1x = 1 Add '4' to each side of the equation. -4 + 4 + 1x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 1 + 4 1x = 1 + 4 Combine like terms: 1 + 4 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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