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Simplifying 2(2y + -7) + 2(x + 4) = 42 Reorder the terms: 2(-7 + 2y) + 2(x + 4) = 42 (-7 * 2 + 2y * 2) + 2(x + 4) = 42 (-14 + 4y) + 2(x + 4) = 42 Reorder the terms: -14 + 4y + 2(4 + x) = 42 -14 + 4y + (4 * 2 + x * 2) = 42 -14 + 4y + (8 + 2x) = 42 Reorder the terms: -14 + 8 + 2x + 4y = 42 Combine like terms: -14 + 8 = -6 -6 + 2x + 4y = 42 Solving -6 + 2x + 4y = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2x + 6 + 4y = 42 + 6 Reorder the terms: -6 + 6 + 2x + 4y = 42 + 6 Combine like terms: -6 + 6 = 0 0 + 2x + 4y = 42 + 6 2x + 4y = 42 + 6 Combine like terms: 42 + 6 = 48 2x + 4y = 48 Add '-4y' to each side of the equation. 2x + 4y + -4y = 48 + -4y Combine like terms: 4y + -4y = 0 2x + 0 = 48 + -4y 2x = 48 + -4y Divide each side by '2'. x = 24 + -2y Simplifying x = 24 + -2y
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