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Simplifying 5x + 1 = 10x + 6 Reorder the terms: 1 + 5x = 10x + 6 Reorder the terms: 1 + 5x = 6 + 10x Solving 1 + 5x = 6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 1 + 5x + -10x = 6 + 10x + -10x Combine like terms: 5x + -10x = -5x 1 + -5x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 1 + -5x = 6 + 0 1 + -5x = 6 Add '-1' to each side of the equation. 1 + -1 + -5x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 6 + -1 -5x = 6 + -1 Combine like terms: 6 + -1 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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