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Simplifying 4x + 43 = 5x + -2 Reorder the terms: 43 + 4x = 5x + -2 Reorder the terms: 43 + 4x = -2 + 5x Solving 43 + 4x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 43 + 4x + -5x = -2 + 5x + -5x Combine like terms: 4x + -5x = -1x 43 + -1x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 43 + -1x = -2 + 0 43 + -1x = -2 Add '-43' to each side of the equation. 43 + -43 + -1x = -2 + -43 Combine like terms: 43 + -43 = 0 0 + -1x = -2 + -43 -1x = -2 + -43 Combine like terms: -2 + -43 = -45 -1x = -45 Divide each side by '-1'. x = 45 Simplifying x = 45
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