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Simplifying 5(x + -2) + 9(3 + -1x) = 0 Reorder the terms: 5(-2 + x) + 9(3 + -1x) = 0 (-2 * 5 + x * 5) + 9(3 + -1x) = 0 (-10 + 5x) + 9(3 + -1x) = 0 -10 + 5x + (3 * 9 + -1x * 9) = 0 -10 + 5x + (27 + -9x) = 0 Reorder the terms: -10 + 27 + 5x + -9x = 0 Combine like terms: -10 + 27 = 17 17 + 5x + -9x = 0 Combine like terms: 5x + -9x = -4x 17 + -4x = 0 Solving 17 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -4x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = 0 + -17 -4x = 0 + -17 Combine like terms: 0 + -17 = -17 -4x = -17 Divide each side by '-4'. x = 4.25 Simplifying x = 4.25
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