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Simplifying 3x + 50 = 10x + 1 Reorder the terms: 50 + 3x = 10x + 1 Reorder the terms: 50 + 3x = 1 + 10x Solving 50 + 3x = 1 + 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. 50 + 3x + -10x = 1 + 10x + -10x Combine like terms: 3x + -10x = -7x 50 + -7x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 50 + -7x = 1 + 0 50 + -7x = 1 Add '-50' to each side of the equation. 50 + -50 + -7x = 1 + -50 Combine like terms: 50 + -50 = 0 0 + -7x = 1 + -50 -7x = 1 + -50 Combine like terms: 1 + -50 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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