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Simplifying 2(x + -102) + 3y = -17 Reorder the terms: 2(-102 + x) + 3y = -17 (-102 * 2 + x * 2) + 3y = -17 (-204 + 2x) + 3y = -17 Solving -204 + 2x + 3y = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '204' to each side of the equation. -204 + 2x + 204 + 3y = -17 + 204 Reorder the terms: -204 + 204 + 2x + 3y = -17 + 204 Combine like terms: -204 + 204 = 0 0 + 2x + 3y = -17 + 204 2x + 3y = -17 + 204 Combine like terms: -17 + 204 = 187 2x + 3y = 187 Add '-3y' to each side of the equation. 2x + 3y + -3y = 187 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 187 + -3y 2x = 187 + -3y Divide each side by '2'. x = 93.5 + -1.5y Simplifying x = 93.5 + -1.5y
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