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Simplifying 5x + 15 = 42 + (3x + -15) Reorder the terms: 15 + 5x = 42 + (3x + -15) Reorder the terms: 15 + 5x = 42 + (-15 + 3x) Remove parenthesis around (-15 + 3x) 15 + 5x = 42 + -15 + 3x Combine like terms: 42 + -15 = 27 15 + 5x = 27 + 3x Solving 15 + 5x = 27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + 5x + -3x = 27 + 3x + -3x Combine like terms: 5x + -3x = 2x 15 + 2x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 2x = 27 + 0 15 + 2x = 27 Add '-15' to each side of the equation. 15 + -15 + 2x = 27 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 27 + -15 2x = 27 + -15 Combine like terms: 27 + -15 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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