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Simplifying 45x + 43 + -47x = 33(x + 42) Reorder the terms: 43 + 45x + -47x = 33(x + 42) Combine like terms: 45x + -47x = -2x 43 + -2x = 33(x + 42) Reorder the terms: 43 + -2x = 33(42 + x) 43 + -2x = (42 * 33 + x * 33) 43 + -2x = (1386 + 33x) Solving 43 + -2x = 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. 43 + -2x + -33x = 1386 + 33x + -33x Combine like terms: -2x + -33x = -35x 43 + -35x = 1386 + 33x + -33x Combine like terms: 33x + -33x = 0 43 + -35x = 1386 + 0 43 + -35x = 1386 Add '-43' to each side of the equation. 43 + -43 + -35x = 1386 + -43 Combine like terms: 43 + -43 = 0 0 + -35x = 1386 + -43 -35x = 1386 + -43 Combine like terms: 1386 + -43 = 1343 -35x = 1343 Divide each side by '-35'. x = -38.37142857 Simplifying x = -38.37142857
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