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Simplifying -2x + -47 = 3x + 43 Reorder the terms: -47 + -2x = 3x + 43 Reorder the terms: -47 + -2x = 43 + 3x Solving -47 + -2x = 43 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -47 + -2x + -3x = 43 + 3x + -3x Combine like terms: -2x + -3x = -5x -47 + -5x = 43 + 3x + -3x Combine like terms: 3x + -3x = 0 -47 + -5x = 43 + 0 -47 + -5x = 43 Add '47' to each side of the equation. -47 + 47 + -5x = 43 + 47 Combine like terms: -47 + 47 = 0 0 + -5x = 43 + 47 -5x = 43 + 47 Combine like terms: 43 + 47 = 90 -5x = 90 Divide each side by '-5'. x = -18 Simplifying x = -18
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