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Simplifying 3x + 82 = 10x + 12 Reorder the terms: 82 + 3x = 10x + 12 Reorder the terms: 82 + 3x = 12 + 10x Solving 82 + 3x = 12 + 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. 82 + 3x + -10x = 12 + 10x + -10x Combine like terms: 3x + -10x = -7x 82 + -7x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 82 + -7x = 12 + 0 82 + -7x = 12 Add '-82' to each side of the equation. 82 + -82 + -7x = 12 + -82 Combine like terms: 82 + -82 = 0 0 + -7x = 12 + -82 -7x = 12 + -82 Combine like terms: 12 + -82 = -70 -7x = -70 Divide each side by '-7'. x = 10 Simplifying x = 10
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