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Simplifying 34x + 16 + 30x = 52x + 100 Reorder the terms: 16 + 34x + 30x = 52x + 100 Combine like terms: 34x + 30x = 64x 16 + 64x = 52x + 100 Reorder the terms: 16 + 64x = 100 + 52x Solving 16 + 64x = 100 + 52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52x' to each side of the equation. 16 + 64x + -52x = 100 + 52x + -52x Combine like terms: 64x + -52x = 12x 16 + 12x = 100 + 52x + -52x Combine like terms: 52x + -52x = 0 16 + 12x = 100 + 0 16 + 12x = 100 Add '-16' to each side of the equation. 16 + -16 + 12x = 100 + -16 Combine like terms: 16 + -16 = 0 0 + 12x = 100 + -16 12x = 100 + -16 Combine like terms: 100 + -16 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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