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Simplifying 3x + 5 + 2x = 50 + x + 3 Reorder the terms: 5 + 3x + 2x = 50 + x + 3 Combine like terms: 3x + 2x = 5x 5 + 5x = 50 + x + 3 Reorder the terms: 5 + 5x = 50 + 3 + x Combine like terms: 50 + 3 = 53 5 + 5x = 53 + x Solving 5 + 5x = 53 + 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. 5 + 5x + -1x = 53 + x + -1x Combine like terms: 5x + -1x = 4x 5 + 4x = 53 + x + -1x Combine like terms: x + -1x = 0 5 + 4x = 53 + 0 5 + 4x = 53 Add '-5' to each side of the equation. 5 + -5 + 4x = 53 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 53 + -5 4x = 53 + -5 Combine like terms: 53 + -5 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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