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Simplifying (x + -3) * 2 + (y + -8) * 2 = 18 Reorder the terms: (-3 + x) * 2 + (y + -8) * 2 = 18 Reorder the terms for easier multiplication: 2(-3 + x) + (y + -8) * 2 = 18 (-3 * 2 + x * 2) + (y + -8) * 2 = 18 (-6 + 2x) + (y + -8) * 2 = 18 Reorder the terms: -6 + 2x + (-8 + y) * 2 = 18 Reorder the terms for easier multiplication: -6 + 2x + 2(-8 + y) = 18 -6 + 2x + (-8 * 2 + y * 2) = 18 -6 + 2x + (-16 + 2y) = 18 Reorder the terms: -6 + -16 + 2x + 2y = 18 Combine like terms: -6 + -16 = -22 -22 + 2x + 2y = 18 Solving -22 + 2x + 2y = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 2x + 22 + 2y = 18 + 22 Reorder the terms: -22 + 22 + 2x + 2y = 18 + 22 Combine like terms: -22 + 22 = 0 0 + 2x + 2y = 18 + 22 2x + 2y = 18 + 22 Combine like terms: 18 + 22 = 40 2x + 2y = 40 Add '-2y' to each side of the equation. 2x + 2y + -2y = 40 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 40 + -2y 2x = 40 + -2y Divide each side by '2'. x = 20 + -1y Simplifying x = 20 + -1y
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