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Simplifying 10x + 1 = 7x + 4 Reorder the terms: 1 + 10x = 7x + 4 Reorder the terms: 1 + 10x = 4 + 7x Solving 1 + 10x = 4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1 + 10x + -7x = 4 + 7x + -7x Combine like terms: 10x + -7x = 3x 1 + 3x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + 3x = 4 + 0 1 + 3x = 4 Add '-1' to each side of the equation. 1 + -1 + 3x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 4 + -1 3x = 4 + -1 Combine like terms: 4 + -1 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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