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Simplifying 4(x + -5) = 9(2x + -18) Reorder the terms: 4(-5 + x) = 9(2x + -18) (-5 * 4 + x * 4) = 9(2x + -18) (-20 + 4x) = 9(2x + -18) Reorder the terms: -20 + 4x = 9(-18 + 2x) -20 + 4x = (-18 * 9 + 2x * 9) -20 + 4x = (-162 + 18x) Solving -20 + 4x = -162 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -20 + 4x + -18x = -162 + 18x + -18x Combine like terms: 4x + -18x = -14x -20 + -14x = -162 + 18x + -18x Combine like terms: 18x + -18x = 0 -20 + -14x = -162 + 0 -20 + -14x = -162 Add '20' to each side of the equation. -20 + 20 + -14x = -162 + 20 Combine like terms: -20 + 20 = 0 0 + -14x = -162 + 20 -14x = -162 + 20 Combine like terms: -162 + 20 = -142 -14x = -142 Divide each side by '-14'. x = 10.14285714 Simplifying x = 10.14285714
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