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Simplifying 4.5(X + -7) = 3X + 9 Reorder the terms: 4.5(-7 + X) = 3X + 9 (-7 * 4.5 + X * 4.5) = 3X + 9 (-31.5 + 4.5X) = 3X + 9 Reorder the terms: -31.5 + 4.5X = 9 + 3X Solving -31.5 + 4.5X = 9 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. -31.5 + 4.5X + -3X = 9 + 3X + -3X Combine like terms: 4.5X + -3X = 1.5X -31.5 + 1.5X = 9 + 3X + -3X Combine like terms: 3X + -3X = 0 -31.5 + 1.5X = 9 + 0 -31.5 + 1.5X = 9 Add '31.5' to each side of the equation. -31.5 + 31.5 + 1.5X = 9 + 31.5 Combine like terms: -31.5 + 31.5 = 0.0 0.0 + 1.5X = 9 + 31.5 1.5X = 9 + 31.5 Combine like terms: 9 + 31.5 = 40.5 1.5X = 40.5 Divide each side by '1.5'. X = 27 Simplifying X = 27
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