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Simplifying 9(-2x + 4) + -6(5 + -4x) = 0 Reorder the terms: 9(4 + -2x) + -6(5 + -4x) = 0 (4 * 9 + -2x * 9) + -6(5 + -4x) = 0 (36 + -18x) + -6(5 + -4x) = 0 36 + -18x + (5 * -6 + -4x * -6) = 0 36 + -18x + (-30 + 24x) = 0 Reorder the terms: 36 + -30 + -18x + 24x = 0 Combine like terms: 36 + -30 = 6 6 + -18x + 24x = 0 Combine like terms: -18x + 24x = 6x 6 + 6x = 0 Solving 6 + 6x = 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 + 6x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 0 + -6 6x = 0 + -6 Combine like terms: 0 + -6 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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