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Simplifying (x + 4) * 2 + (y + -6) * 2 = 48 Reorder the terms: (4 + x) * 2 + (y + -6) * 2 = 48 Reorder the terms for easier multiplication: 2(4 + x) + (y + -6) * 2 = 48 (4 * 2 + x * 2) + (y + -6) * 2 = 48 (8 + 2x) + (y + -6) * 2 = 48 Reorder the terms: 8 + 2x + (-6 + y) * 2 = 48 Reorder the terms for easier multiplication: 8 + 2x + 2(-6 + y) = 48 8 + 2x + (-6 * 2 + y * 2) = 48 8 + 2x + (-12 + 2y) = 48 Reorder the terms: 8 + -12 + 2x + 2y = 48 Combine like terms: 8 + -12 = -4 -4 + 2x + 2y = 48 Solving -4 + 2x + 2y = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2x + 4 + 2y = 48 + 4 Reorder the terms: -4 + 4 + 2x + 2y = 48 + 4 Combine like terms: -4 + 4 = 0 0 + 2x + 2y = 48 + 4 2x + 2y = 48 + 4 Combine like terms: 48 + 4 = 52 2x + 2y = 52 Add '-2y' to each side of the equation. 2x + 2y + -2y = 52 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 52 + -2y 2x = 52 + -2y Divide each side by '2'. x = 26 + -1y Simplifying x = 26 + -1y
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