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Simplifying 5 + -4 + 7x = 8x + 1 Combine like terms: 5 + -4 = 1 1 + 7x = 8x + 1 Reorder the terms: 1 + 7x = 1 + 8x Add '-1' to each side of the equation. 1 + -1 + 7x = 1 + -1 + 8x Combine like terms: 1 + -1 = 0 0 + 7x = 1 + -1 + 8x 7x = 1 + -1 + 8x Combine like terms: 1 + -1 = 0 7x = 0 + 8x 7x = 8x Solving 7x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7x + -8x = 8x + -8x Combine like terms: 7x + -8x = -1x -1x = 8x + -8x Combine like terms: 8x + -8x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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