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Simplifying 3x + 82 = 7x + -30 Reorder the terms: 82 + 3x = 7x + -30 Reorder the terms: 82 + 3x = -30 + 7x Solving 82 + 3x = -30 + 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. 82 + 3x + -7x = -30 + 7x + -7x Combine like terms: 3x + -7x = -4x 82 + -4x = -30 + 7x + -7x Combine like terms: 7x + -7x = 0 82 + -4x = -30 + 0 82 + -4x = -30 Add '-82' to each side of the equation. 82 + -82 + -4x = -30 + -82 Combine like terms: 82 + -82 = 0 0 + -4x = -30 + -82 -4x = -30 + -82 Combine like terms: -30 + -82 = -112 -4x = -112 Divide each side by '-4'. x = 28 Simplifying x = 28
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