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Simplifying 2(y + -5) + -2x + -1y = 7 Reorder the terms: 2(-5 + y) + -2x + -1y = 7 (-5 * 2 + y * 2) + -2x + -1y = 7 (-10 + 2y) + -2x + -1y = 7 Reorder the terms: -10 + -2x + 2y + -1y = 7 Combine like terms: 2y + -1y = 1y -10 + -2x + 1y = 7 Solving -10 + -2x + 1y = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -2x + 10 + 1y = 7 + 10 Reorder the terms: -10 + 10 + -2x + 1y = 7 + 10 Combine like terms: -10 + 10 = 0 0 + -2x + 1y = 7 + 10 -2x + 1y = 7 + 10 Combine like terms: 7 + 10 = 17 -2x + 1y = 17 Add '-1y' to each side of the equation. -2x + 1y + -1y = 17 + -1y Combine like terms: 1y + -1y = 0 -2x + 0 = 17 + -1y -2x = 17 + -1y Divide each side by '-2'. x = -8.5 + 0.5y Simplifying x = -8.5 + 0.5y
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