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Simplifying 5x + 43 = 9x + -13 Reorder the terms: 43 + 5x = 9x + -13 Reorder the terms: 43 + 5x = -13 + 9x Solving 43 + 5x = -13 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 43 + 5x + -9x = -13 + 9x + -9x Combine like terms: 5x + -9x = -4x 43 + -4x = -13 + 9x + -9x Combine like terms: 9x + -9x = 0 43 + -4x = -13 + 0 43 + -4x = -13 Add '-43' to each side of the equation. 43 + -43 + -4x = -13 + -43 Combine like terms: 43 + -43 = 0 0 + -4x = -13 + -43 -4x = -13 + -43 Combine like terms: -13 + -43 = -56 -4x = -56 Divide each side by '-4'. x = 14 Simplifying x = 14
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