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Simplifying 0.333(9x + 27) + -4 = 0.5(2x + 54) Reorder the terms: 0.333(27 + 9x) + -4 = 0.5(2x + 54) (27 * 0.333 + 9x * 0.333) + -4 = 0.5(2x + 54) (8.991 + 2.997x) + -4 = 0.5(2x + 54) Reorder the terms: 8.991 + -4 + 2.997x = 0.5(2x + 54) Combine like terms: 8.991 + -4 = 4.991 4.991 + 2.997x = 0.5(2x + 54) Reorder the terms: 4.991 + 2.997x = 0.5(54 + 2x) 4.991 + 2.997x = (54 * 0.5 + 2x * 0.5) 4.991 + 2.997x = (27 + 1x) Solving 4.991 + 2.997x = 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. 4.991 + 2.997x + -1x = 27 + 1x + -1x Combine like terms: 2.997x + -1x = 1.997x 4.991 + 1.997x = 27 + 1x + -1x Combine like terms: 1x + -1x = 0 4.991 + 1.997x = 27 + 0 4.991 + 1.997x = 27 Add '-4.991' to each side of the equation. 4.991 + -4.991 + 1.997x = 27 + -4.991 Combine like terms: 4.991 + -4.991 = 0.000 0.000 + 1.997x = 27 + -4.991 1.997x = 27 + -4.991 Combine like terms: 27 + -4.991 = 22.009 1.997x = 22.009 Divide each side by '1.997'. x = 11.02103155 Simplifying x = 11.02103155
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