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Simplifying 5(x + 4) + -2(7 + -2x) = 0 Reorder the terms: 5(4 + x) + -2(7 + -2x) = 0 (4 * 5 + x * 5) + -2(7 + -2x) = 0 (20 + 5x) + -2(7 + -2x) = 0 20 + 5x + (7 * -2 + -2x * -2) = 0 20 + 5x + (-14 + 4x) = 0 Reorder the terms: 20 + -14 + 5x + 4x = 0 Combine like terms: 20 + -14 = 6 6 + 5x + 4x = 0 Combine like terms: 5x + 4x = 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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