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Simplifying 15 + x + 27 = 102 + -1x Reorder the terms: 15 + 27 + x = 102 + -1x Combine like terms: 15 + 27 = 42 42 + x = 102 + -1x Solving 42 + x = 102 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 42 + x + x = 102 + -1x + x Combine like terms: x + x = 2x 42 + 2x = 102 + -1x + x Combine like terms: -1x + x = 0 42 + 2x = 102 + 0 42 + 2x = 102 Add '-42' to each side of the equation. 42 + -42 + 2x = 102 + -42 Combine like terms: 42 + -42 = 0 0 + 2x = 102 + -42 2x = 102 + -42 Combine like terms: 102 + -42 = 60 2x = 60 Divide each side by '2'. x = 30 Simplifying x = 30
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