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Simplifying 2(2x + -7) + 5(x + 4) = 0 Reorder the terms: 2(-7 + 2x) + 5(x + 4) = 0 (-7 * 2 + 2x * 2) + 5(x + 4) = 0 (-14 + 4x) + 5(x + 4) = 0 Reorder the terms: -14 + 4x + 5(4 + x) = 0 -14 + 4x + (4 * 5 + x * 5) = 0 -14 + 4x + (20 + 5x) = 0 Reorder the terms: -14 + 20 + 4x + 5x = 0 Combine like terms: -14 + 20 = 6 6 + 4x + 5x = 0 Combine like terms: 4x + 5x = 9x 6 + 9x = 0 Solving 6 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 9x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 0 + -6 9x = 0 + -6 Combine like terms: 0 + -6 = -6 9x = -6 Divide each side by '9'. x = -0.6666666667 Simplifying x = -0.6666666667
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