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Simplifying 4x + 82 = 10x + 10 Reorder the terms: 82 + 4x = 10x + 10 Reorder the terms: 82 + 4x = 10 + 10x Solving 82 + 4x = 10 + 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 + 4x + -10x = 10 + 10x + -10x Combine like terms: 4x + -10x = -6x 82 + -6x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 82 + -6x = 10 + 0 82 + -6x = 10 Add '-82' to each side of the equation. 82 + -82 + -6x = 10 + -82 Combine like terms: 82 + -82 = 0 0 + -6x = 10 + -82 -6x = 10 + -82 Combine like terms: 10 + -82 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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