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Simplifying 3x + 30 = x + 52 Reorder the terms: 30 + 3x = x + 52 Reorder the terms: 30 + 3x = 52 + x Solving 30 + 3x = 52 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 30 + 3x + -1x = 52 + x + -1x Combine like terms: 3x + -1x = 2x 30 + 2x = 52 + x + -1x Combine like terms: x + -1x = 0 30 + 2x = 52 + 0 30 + 2x = 52 Add '-30' to each side of the equation. 30 + -30 + 2x = 52 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 52 + -30 2x = 52 + -30 Combine like terms: 52 + -30 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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