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Simplifying 2x + 20 + 2x + -5 = 42 + -5x + 27 Reorder the terms: 20 + -5 + 2x + 2x = 42 + -5x + 27 Combine like terms: 20 + -5 = 15 15 + 2x + 2x = 42 + -5x + 27 Combine like terms: 2x + 2x = 4x 15 + 4x = 42 + -5x + 27 Reorder the terms: 15 + 4x = 42 + 27 + -5x Combine like terms: 42 + 27 = 69 15 + 4x = 69 + -5x Solving 15 + 4x = 69 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 15 + 4x + 5x = 69 + -5x + 5x Combine like terms: 4x + 5x = 9x 15 + 9x = 69 + -5x + 5x Combine like terms: -5x + 5x = 0 15 + 9x = 69 + 0 15 + 9x = 69 Add '-15' to each side of the equation. 15 + -15 + 9x = 69 + -15 Combine like terms: 15 + -15 = 0 0 + 9x = 69 + -15 9x = 69 + -15 Combine like terms: 69 + -15 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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