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Simplifying 7x + 15 = 4x + 45 Reorder the terms: 15 + 7x = 4x + 45 Reorder the terms: 15 + 7x = 45 + 4x Solving 15 + 7x = 45 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + 7x + -4x = 45 + 4x + -4x Combine like terms: 7x + -4x = 3x 15 + 3x = 45 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 3x = 45 + 0 15 + 3x = 45 Add '-15' to each side of the equation. 15 + -15 + 3x = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 45 + -15 3x = 45 + -15 Combine like terms: 45 + -15 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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