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Simplifying 4(x + 2y) + 9(-2x) = 0 (x * 4 + 2y * 4) + 9(-2x) = 0 (4x + 8y) + 9(-2x) = 0 Remove parenthesis around (-2x) 4x + 8y + 9 * -2x = 0 Multiply 9 * -2 4x + 8y + -18x = 0 Reorder the terms: 4x + -18x + 8y = 0 Combine like terms: 4x + -18x = -14x -14x + 8y = 0 Solving -14x + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. -14x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 -14x + 0 = 0 + -8y -14x = 0 + -8y Remove the zero: -14x = -8y Divide each side by '-14'. x = 0.5714285714y Simplifying x = 0.5714285714y
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