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Simplifying 45x + 43 + -47 = 33(x + 42) Reorder the terms: 43 + -47 + 45x = 33(x + 42) Combine like terms: 43 + -47 = -4 -4 + 45x = 33(x + 42) Reorder the terms: -4 + 45x = 33(42 + x) -4 + 45x = (42 * 33 + x * 33) -4 + 45x = (1386 + 33x) Solving -4 + 45x = 1386 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. -4 + 45x + -33x = 1386 + 33x + -33x Combine like terms: 45x + -33x = 12x -4 + 12x = 1386 + 33x + -33x Combine like terms: 33x + -33x = 0 -4 + 12x = 1386 + 0 -4 + 12x = 1386 Add '4' to each side of the equation. -4 + 4 + 12x = 1386 + 4 Combine like terms: -4 + 4 = 0 0 + 12x = 1386 + 4 12x = 1386 + 4 Combine like terms: 1386 + 4 = 1390 12x = 1390 Divide each side by '12'. x = 115.8333333 Simplifying x = 115.8333333
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