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Simplifying 2x + -47 = 3x + -75 Reorder the terms: -47 + 2x = 3x + -75 Reorder the terms: -47 + 2x = -75 + 3x Solving -47 + 2x = -75 + 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 = -75 + 3x + -3x Combine like terms: 2x + -3x = -1x -47 + -1x = -75 + 3x + -3x Combine like terms: 3x + -3x = 0 -47 + -1x = -75 + 0 -47 + -1x = -75 Add '47' to each side of the equation. -47 + 47 + -1x = -75 + 47 Combine like terms: -47 + 47 = 0 0 + -1x = -75 + 47 -1x = -75 + 47 Combine like terms: -75 + 47 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28
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