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Simplifying 2x + 3x + 4x + 5x + 10 = 52 Reorder the terms: 10 + 2x + 3x + 4x + 5x = 52 Combine like terms: 2x + 3x = 5x 10 + 5x + 4x + 5x = 52 Combine like terms: 5x + 4x = 9x 10 + 9x + 5x = 52 Combine like terms: 9x + 5x = 14x 10 + 14x = 52 Solving 10 + 14x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 14x = 52 + -10 Combine like terms: 10 + -10 = 0 0 + 14x = 52 + -10 14x = 52 + -10 Combine like terms: 52 + -10 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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