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Simplifying 10x + 1 = 2x + 7 Reorder the terms: 1 + 10x = 2x + 7 Reorder the terms: 1 + 10x = 7 + 2x Solving 1 + 10x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + 10x + -2x = 7 + 2x + -2x Combine like terms: 10x + -2x = 8x 1 + 8x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 8x = 7 + 0 1 + 8x = 7 Add '-1' to each side of the equation. 1 + -1 + 8x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 7 + -1 8x = 7 + -1 Combine like terms: 7 + -1 = 6 8x = 6 Divide each side by '8'. x = 0.75 Simplifying x = 0.75
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