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Simplifying 5x + 43 = 8x + 13 Reorder the terms: 43 + 5x = 8x + 13 Reorder the terms: 43 + 5x = 13 + 8x Solving 43 + 5x = 13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 43 + 5x + -8x = 13 + 8x + -8x Combine like terms: 5x + -8x = -3x 43 + -3x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 43 + -3x = 13 + 0 43 + -3x = 13 Add '-43' to each side of the equation. 43 + -43 + -3x = 13 + -43 Combine like terms: 43 + -43 = 0 0 + -3x = 13 + -43 -3x = 13 + -43 Combine like terms: 13 + -43 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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