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Simplifying (4x + 7y + 3) + (-2x + y + -4) = 0 Reorder the terms: (3 + 4x + 7y) + (-2x + y + -4) = 0 Remove parenthesis around (3 + 4x + 7y) 3 + 4x + 7y + (-2x + y + -4) = 0 Reorder the terms: 3 + 4x + 7y + (-4 + -2x + y) = 0 Remove parenthesis around (-4 + -2x + y) 3 + 4x + 7y + -4 + -2x + y = 0 Reorder the terms: 3 + -4 + 4x + -2x + 7y + y = 0 Combine like terms: 3 + -4 = -1 -1 + 4x + -2x + 7y + y = 0 Combine like terms: 4x + -2x = 2x -1 + 2x + 7y + y = 0 Combine like terms: 7y + y = 8y -1 + 2x + 8y = 0 Solving -1 + 2x + 8y = 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 + 2x + 1 + 8y = 0 + 1 Reorder the terms: -1 + 1 + 2x + 8y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x + 8y = 0 + 1 2x + 8y = 0 + 1 Combine like terms: 0 + 1 = 1 2x + 8y = 1 Add '-8y' to each side of the equation. 2x + 8y + -8y = 1 + -8y Combine like terms: 8y + -8y = 0 2x + 0 = 1 + -8y 2x = 1 + -8y Divide each side by '2'. x = 0.5 + -4y Simplifying x = 0.5 + -4y
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