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Simplifying 10x + -4 = 5x + 1 Reorder the terms: -4 + 10x = 5x + 1 Reorder the terms: -4 + 10x = 1 + 5x Solving -4 + 10x = 1 + 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. -4 + 10x + -5x = 1 + 5x + -5x Combine like terms: 10x + -5x = 5x -4 + 5x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 5x = 1 + 0 -4 + 5x = 1 Add '4' to each side of the equation. -4 + 4 + 5x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 1 + 4 5x = 1 + 4 Combine like terms: 1 + 4 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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