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Simplifying 4(x + -9) + -2(x + -5) + 7x = 0 Reorder the terms: 4(-9 + x) + -2(x + -5) + 7x = 0 (-9 * 4 + x * 4) + -2(x + -5) + 7x = 0 (-36 + 4x) + -2(x + -5) + 7x = 0 Reorder the terms: -36 + 4x + -2(-5 + x) + 7x = 0 -36 + 4x + (-5 * -2 + x * -2) + 7x = 0 -36 + 4x + (10 + -2x) + 7x = 0 Reorder the terms: -36 + 10 + 4x + -2x + 7x = 0 Combine like terms: -36 + 10 = -26 -26 + 4x + -2x + 7x = 0 Combine like terms: 4x + -2x = 2x -26 + 2x + 7x = 0 Combine like terms: 2x + 7x = 9x -26 + 9x = 0 Solving -26 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 9x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 9x = 0 + 26 9x = 0 + 26 Combine like terms: 0 + 26 = 26 9x = 26 Divide each side by '9'. x = 2.888888889 Simplifying x = 2.888888889
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