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Simplifying [(4x + 2y) + -1(7 + -1y)] + 8 = 0 Remove parenthesis around (4x + 2y) [4x + 2y + -1(7 + -1y)] + 8 = 0 [4x + 2y + (7 * -1 + -1y * -1)] + 8 = 0 [4x + 2y + (-7 + 1y)] + 8 = 0 Reorder the terms: [-7 + 4x + 2y + 1y] + 8 = 0 Combine like terms: 2y + 1y = 3y [-7 + 4x + 3y] + 8 = 0 Remove brackets around [-7 + 4x + 3y] -7 + 4x + 3y + 8 = 0 Reorder the terms: -7 + 8 + 4x + 3y = 0 Combine like terms: -7 + 8 = 1 1 + 4x + 3y = 0 Solving 1 + 4x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4x + -1 + 3y = 0 + -1 Reorder the terms: 1 + -1 + 4x + 3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x + 3y = 0 + -1 4x + 3y = 0 + -1 Combine like terms: 0 + -1 = -1 4x + 3y = -1 Add '-3y' to each side of the equation. 4x + 3y + -3y = -1 + -3y Combine like terms: 3y + -3y = 0 4x + 0 = -1 + -3y 4x = -1 + -3y Divide each side by '4'. x = -0.25 + -0.75y Simplifying x = -0.25 + -0.75y
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