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Simplifying 0 = 4(5 + -1x) + -2(-6 + -9x) 0 = (5 * 4 + -1x * 4) + -2(-6 + -9x) 0 = (20 + -4x) + -2(-6 + -9x) 0 = 20 + -4x + (-6 * -2 + -9x * -2) 0 = 20 + -4x + (12 + 18x) Reorder the terms: 0 = 20 + 12 + -4x + 18x Combine like terms: 20 + 12 = 32 0 = 32 + -4x + 18x Combine like terms: -4x + 18x = 14x 0 = 32 + 14x Solving 0 = 32 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 0 + -14x = 32 + 14x + -14x Remove the zero: -14x = 32 + 14x + -14x Combine like terms: 14x + -14x = 0 -14x = 32 + 0 -14x = 32 Divide each side by '-14'. x = -2.285714286 Simplifying x = -2.285714286
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