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Simplifying (x + -3) * 2 + (y + -3) * 2.5 = 9.5 Reorder the terms: (-3 + x) * 2 + (y + -3) * 2.5 = 9.5 Reorder the terms for easier multiplication: 2(-3 + x) + (y + -3) * 2.5 = 9.5 (-3 * 2 + x * 2) + (y + -3) * 2.5 = 9.5 (-6 + 2x) + (y + -3) * 2.5 = 9.5 Reorder the terms: -6 + 2x + (-3 + y) * 2.5 = 9.5 Reorder the terms for easier multiplication: -6 + 2x + 2.5(-3 + y) = 9.5 -6 + 2x + (-3 * 2.5 + y * 2.5) = 9.5 -6 + 2x + (-7.5 + 2.5y) = 9.5 Reorder the terms: -6 + -7.5 + 2x + 2.5y = 9.5 Combine like terms: -6 + -7.5 = -13.5 -13.5 + 2x + 2.5y = 9.5 Solving -13.5 + 2x + 2.5y = 9.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13.5' to each side of the equation. -13.5 + 2x + 13.5 + 2.5y = 9.5 + 13.5 Reorder the terms: -13.5 + 13.5 + 2x + 2.5y = 9.5 + 13.5 Combine like terms: -13.5 + 13.5 = 0.0 0.0 + 2x + 2.5y = 9.5 + 13.5 2x + 2.5y = 9.5 + 13.5 Combine like terms: 9.5 + 13.5 = 23 2x + 2.5y = 23 Add '-2.5y' to each side of the equation. 2x + 2.5y + -2.5y = 23 + -2.5y Combine like terms: 2.5y + -2.5y = 0.0 2x + 0.0 = 23 + -2.5y 2x = 23 + -2.5y Divide each side by '2'. x = 11.5 + -1.25y Simplifying x = 11.5 + -1.25y
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