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Simplifying -4x + -43 = -9x + 52 Reorder the terms: -43 + -4x = -9x + 52 Reorder the terms: -43 + -4x = 52 + -9x Solving -43 + -4x = 52 + -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 + -4x + 9x = 52 + -9x + 9x Combine like terms: -4x + 9x = 5x -43 + 5x = 52 + -9x + 9x Combine like terms: -9x + 9x = 0 -43 + 5x = 52 + 0 -43 + 5x = 52 Add '43' to each side of the equation. -43 + 43 + 5x = 52 + 43 Combine like terms: -43 + 43 = 0 0 + 5x = 52 + 43 5x = 52 + 43 Combine like terms: 52 + 43 = 95 5x = 95 Divide each side by '5'. x = 19 Simplifying x = 19
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