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Simplifying 13x + -43 + -9x = 6x + 37 + 5x + -66 Reorder the terms: -43 + 13x + -9x = 6x + 37 + 5x + -66 Combine like terms: 13x + -9x = 4x -43 + 4x = 6x + 37 + 5x + -66 Reorder the terms: -43 + 4x = 37 + -66 + 6x + 5x Combine like terms: 37 + -66 = -29 -43 + 4x = -29 + 6x + 5x Combine like terms: 6x + 5x = 11x -43 + 4x = -29 + 11x Solving -43 + 4x = -29 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -43 + 4x + -11x = -29 + 11x + -11x Combine like terms: 4x + -11x = -7x -43 + -7x = -29 + 11x + -11x Combine like terms: 11x + -11x = 0 -43 + -7x = -29 + 0 -43 + -7x = -29 Add '43' to each side of the equation. -43 + 43 + -7x = -29 + 43 Combine like terms: -43 + 43 = 0 0 + -7x = -29 + 43 -7x = -29 + 43 Combine like terms: -29 + 43 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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