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Simplifying 5x + 30 = x + 45 + x + 15 Reorder the terms: 30 + 5x = x + 45 + x + 15 Reorder the terms: 30 + 5x = 45 + 15 + x + x Combine like terms: 45 + 15 = 60 30 + 5x = 60 + x + x Combine like terms: x + x = 2x 30 + 5x = 60 + 2x Solving 30 + 5x = 60 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 30 + 5x + -2x = 60 + 2x + -2x Combine like terms: 5x + -2x = 3x 30 + 3x = 60 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 3x = 60 + 0 30 + 3x = 60 Add '-30' to each side of the equation. 30 + -30 + 3x = 60 + -30 Combine like terms: 30 + -30 = 0 0 + 3x = 60 + -30 3x = 60 + -30 Combine like terms: 60 + -30 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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