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Simplifying 4(x + y) + -2(x + -9) + 4 = 0 (x * 4 + y * 4) + -2(x + -9) + 4 = 0 (4x + 4y) + -2(x + -9) + 4 = 0 Reorder the terms: 4x + 4y + -2(-9 + x) + 4 = 0 4x + 4y + (-9 * -2 + x * -2) + 4 = 0 4x + 4y + (18 + -2x) + 4 = 0 Reorder the terms: 18 + 4 + 4x + -2x + 4y = 0 Combine like terms: 18 + 4 = 22 22 + 4x + -2x + 4y = 0 Combine like terms: 4x + -2x = 2x 22 + 2x + 4y = 0 Solving 22 + 2x + 4y = 0 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 + 4y = 0 + -22 Reorder the terms: 22 + -22 + 2x + 4y = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 2x + 4y = 0 + -22 2x + 4y = 0 + -22 Combine like terms: 0 + -22 = -22 2x + 4y = -22 Add '-4y' to each side of the equation. 2x + 4y + -4y = -22 + -4y Combine like terms: 4y + -4y = 0 2x + 0 = -22 + -4y 2x = -22 + -4y Divide each side by '2'. x = -11 + -2y Simplifying x = -11 + -2y
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