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Simplifying 16.5(12 + -6x) = 5(x + 4) (12 * 16.5 + -6x * 16.5) = 5(x + 4) (198 + -99x) = 5(x + 4) Reorder the terms: 198 + -99x = 5(4 + x) 198 + -99x = (4 * 5 + x * 5) 198 + -99x = (20 + 5x) Solving 198 + -99x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 198 + -99x + -5x = 20 + 5x + -5x Combine like terms: -99x + -5x = -104x 198 + -104x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 198 + -104x = 20 + 0 198 + -104x = 20 Add '-198' to each side of the equation. 198 + -198 + -104x = 20 + -198 Combine like terms: 198 + -198 = 0 0 + -104x = 20 + -198 -104x = 20 + -198 Combine like terms: 20 + -198 = -178 -104x = -178 Divide each side by '-104'. x = 1.711538462 Simplifying x = 1.711538462
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