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Simplifying 4(x + 2) + 3x + 2(x + -1y) = 0 Reorder the terms: 4(2 + x) + 3x + 2(x + -1y) = 0 (2 * 4 + x * 4) + 3x + 2(x + -1y) = 0 (8 + 4x) + 3x + 2(x + -1y) = 0 8 + 4x + 3x + (x * 2 + -1y * 2) = 0 8 + 4x + 3x + (2x + -2y) = 0 Combine like terms: 4x + 3x = 7x 8 + 7x + 2x + -2y = 0 Combine like terms: 7x + 2x = 9x 8 + 9x + -2y = 0 Solving 8 + 9x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 9x + -8 + -2y = 0 + -8 Reorder the terms: 8 + -8 + 9x + -2y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9x + -2y = 0 + -8 9x + -2y = 0 + -8 Combine like terms: 0 + -8 = -8 9x + -2y = -8 Add '2y' to each side of the equation. 9x + -2y + 2y = -8 + 2y Combine like terms: -2y + 2y = 0 9x + 0 = -8 + 2y 9x = -8 + 2y Divide each side by '9'. x = -0.8888888889 + 0.2222222222y Simplifying x = -0.8888888889 + 0.2222222222y
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