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Simplifying (-4x + -1y + -7) + -1(-2x + 3y) = 0 Reorder the terms: (-7 + -4x + -1y) + -1(-2x + 3y) = 0 Remove parenthesis around (-7 + -4x + -1y) -7 + -4x + -1y + -1(-2x + 3y) = 0 -7 + -4x + -1y + (-2x * -1 + 3y * -1) = 0 -7 + -4x + -1y + (2x + -3y) = 0 Reorder the terms: -7 + -4x + 2x + -1y + -3y = 0 Combine like terms: -4x + 2x = -2x -7 + -2x + -1y + -3y = 0 Combine like terms: -1y + -3y = -4y -7 + -2x + -4y = 0 Solving -7 + -2x + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -2x + 7 + -4y = 0 + 7 Reorder the terms: -7 + 7 + -2x + -4y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x + -4y = 0 + 7 -2x + -4y = 0 + 7 Combine like terms: 0 + 7 = 7 -2x + -4y = 7 Add '4y' to each side of the equation. -2x + -4y + 4y = 7 + 4y Combine like terms: -4y + 4y = 0 -2x + 0 = 7 + 4y -2x = 7 + 4y Divide each side by '-2'. x = -3.5 + -2y Simplifying x = -3.5 + -2y
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