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Simplifying 5x + 15 + -2x = x + 45 Reorder the terms: 15 + 5x + -2x = x + 45 Combine like terms: 5x + -2x = 3x 15 + 3x = x + 45 Reorder the terms: 15 + 3x = 45 + x Solving 15 + 3x = 45 + 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. 15 + 3x + -1x = 45 + x + -1x Combine like terms: 3x + -1x = 2x 15 + 2x = 45 + x + -1x Combine like terms: x + -1x = 0 15 + 2x = 45 + 0 15 + 2x = 45 Add '-15' to each side of the equation. 15 + -15 + 2x = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 45 + -15 2x = 45 + -15 Combine like terms: 45 + -15 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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