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Simplifying 5x + 10 = 70 + -7x Reorder the terms: 10 + 5x = 70 + -7x Solving 10 + 5x = 70 + -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. 10 + 5x + 7x = 70 + -7x + 7x Combine like terms: 5x + 7x = 12x 10 + 12x = 70 + -7x + 7x Combine like terms: -7x + 7x = 0 10 + 12x = 70 + 0 10 + 12x = 70 Add '-10' to each side of the equation. 10 + -10 + 12x = 70 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = 70 + -10 12x = 70 + -10 Combine like terms: 70 + -10 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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