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Simplifying 0.45(44x + 33) = 1.3333333(15x + 21) Reorder the terms: 0.45(33 + 44x) = 1.3333333(15x + 21) (33 * 0.45 + 44x * 0.45) = 1.3333333(15x + 21) (14.85 + 19.8x) = 1.3333333(15x + 21) Reorder the terms: 14.85 + 19.8x = 1.3333333(21 + 15x) 14.85 + 19.8x = (21 * 1.3333333 + 15x * 1.3333333) 14.85 + 19.8x = (27.9999993 + 19.9999995x) Solving 14.85 + 19.8x = 27.9999993 + 19.9999995x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19.9999995x' to each side of the equation. 14.85 + 19.8x + -19.9999995x = 27.9999993 + 19.9999995x + -19.9999995x Combine like terms: 19.8x + -19.9999995x = -0.1999995x 14.85 + -0.1999995x = 27.9999993 + 19.9999995x + -19.9999995x Combine like terms: 19.9999995x + -19.9999995x = 0.0000000 14.85 + -0.1999995x = 27.9999993 + 0.0000000 14.85 + -0.1999995x = 27.9999993 Add '-14.85' to each side of the equation. 14.85 + -14.85 + -0.1999995x = 27.9999993 + -14.85 Combine like terms: 14.85 + -14.85 = 0.00 0.00 + -0.1999995x = 27.9999993 + -14.85 -0.1999995x = 27.9999993 + -14.85 Combine like terms: 27.9999993 + -14.85 = 13.1499993 -0.1999995x = 13.1499993 Divide each side by '-0.1999995'. x = -65.75016088 Simplifying x = -65.75016088
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