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Simplifying 5x + 30 = 2x + 45 Reorder the terms: 30 + 5x = 2x + 45 Reorder the terms: 30 + 5x = 45 + 2x Solving 30 + 5x = 45 + 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 = 45 + 2x + -2x Combine like terms: 5x + -2x = 3x 30 + 3x = 45 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 3x = 45 + 0 30 + 3x = 45 Add '-30' to each side of the equation. 30 + -30 + 3x = 45 + -30 Combine like terms: 30 + -30 = 0 0 + 3x = 45 + -30 3x = 45 + -30 Combine like terms: 45 + -30 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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