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Simplifying 2(y + 2) + 4(x + -4) = 18 Reorder the terms: 2(2 + y) + 4(x + -4) = 18 (2 * 2 + y * 2) + 4(x + -4) = 18 (4 + 2y) + 4(x + -4) = 18 Reorder the terms: 4 + 2y + 4(-4 + x) = 18 4 + 2y + (-4 * 4 + x * 4) = 18 4 + 2y + (-16 + 4x) = 18 Reorder the terms: 4 + -16 + 4x + 2y = 18 Combine like terms: 4 + -16 = -12 -12 + 4x + 2y = 18 Solving -12 + 4x + 2y = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 4x + 12 + 2y = 18 + 12 Reorder the terms: -12 + 12 + 4x + 2y = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 4x + 2y = 18 + 12 4x + 2y = 18 + 12 Combine like terms: 18 + 12 = 30 4x + 2y = 30 Add '-2y' to each side of the equation. 4x + 2y + -2y = 30 + -2y Combine like terms: 2y + -2y = 0 4x + 0 = 30 + -2y 4x = 30 + -2y Divide each side by '4'. x = 7.5 + -0.5y Simplifying x = 7.5 + -0.5y
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