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Simplifying 6(2x + 4.5) = 8 + -0.25 + 11x + -0.75 Reorder the terms: 6(4.5 + 2x) = 8 + -0.25 + 11x + -0.75 (4.5 * 6 + 2x * 6) = 8 + -0.25 + 11x + -0.75 (27 + 12x) = 8 + -0.25 + 11x + -0.75 Reorder the terms: 27 + 12x = 8 + -0.25 + -0.75 + 11x Combine like terms: 8 + -0.25 = 7.75 27 + 12x = 7.75 + -0.75 + 11x Combine like terms: 7.75 + -0.75 = 7 27 + 12x = 7 + 11x Solving 27 + 12x = 7 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 27 + 12x + -11x = 7 + 11x + -11x Combine like terms: 12x + -11x = 1x 27 + 1x = 7 + 11x + -11x Combine like terms: 11x + -11x = 0 27 + 1x = 7 + 0 27 + 1x = 7 Add '-27' to each side of the equation. 27 + -27 + 1x = 7 + -27 Combine like terms: 27 + -27 = 0 0 + 1x = 7 + -27 1x = 7 + -27 Combine like terms: 7 + -27 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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