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Simplifying 4(x + 5) = 9(2x + -5) Reorder the terms: 4(5 + x) = 9(2x + -5) (5 * 4 + x * 4) = 9(2x + -5) (20 + 4x) = 9(2x + -5) Reorder the terms: 20 + 4x = 9(-5 + 2x) 20 + 4x = (-5 * 9 + 2x * 9) 20 + 4x = (-45 + 18x) Solving 20 + 4x = -45 + 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 = -45 + 18x + -18x Combine like terms: 4x + -18x = -14x 20 + -14x = -45 + 18x + -18x Combine like terms: 18x + -18x = 0 20 + -14x = -45 + 0 20 + -14x = -45 Add '-20' to each side of the equation. 20 + -20 + -14x = -45 + -20 Combine like terms: 20 + -20 = 0 0 + -14x = -45 + -20 -14x = -45 + -20 Combine like terms: -45 + -20 = -65 -14x = -65 Divide each side by '-14'. x = 4.642857143 Simplifying x = 4.642857143
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