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Simplifying 0.33(9x + 27) + -4 = 0.50(2x + 54) Reorder the terms: 0.33(27 + 9x) + -4 = 0.50(2x + 54) (27 * 0.33 + 9x * 0.33) + -4 = 0.50(2x + 54) (8.91 + 2.97x) + -4 = 0.50(2x + 54) Reorder the terms: 8.91 + -4 + 2.97x = 0.50(2x + 54) Combine like terms: 8.91 + -4 = 4.91 4.91 + 2.97x = 0.50(2x + 54) Reorder the terms: 4.91 + 2.97x = 0.50(54 + 2x) 4.91 + 2.97x = (54 * 0.50 + 2x * 0.50) 4.91 + 2.97x = (27 + 1x) Solving 4.91 + 2.97x = 27 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4.91 + 2.97x + -1x = 27 + 1x + -1x Combine like terms: 2.97x + -1x = 1.97x 4.91 + 1.97x = 27 + 1x + -1x Combine like terms: 1x + -1x = 0 4.91 + 1.97x = 27 + 0 4.91 + 1.97x = 27 Add '-4.91' to each side of the equation. 4.91 + -4.91 + 1.97x = 27 + -4.91 Combine like terms: 4.91 + -4.91 = 0.00 0.00 + 1.97x = 27 + -4.91 1.97x = 27 + -4.91 Combine like terms: 27 + -4.91 = 22.09 1.97x = 22.09 Divide each side by '1.97'. x = 11.21319797 Simplifying x = 11.21319797
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