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Simplifying -3x + 47 = -2x + 67 Reorder the terms: 47 + -3x = -2x + 67 Reorder the terms: 47 + -3x = 67 + -2x Solving 47 + -3x = 67 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 47 + -3x + 2x = 67 + -2x + 2x Combine like terms: -3x + 2x = -1x 47 + -1x = 67 + -2x + 2x Combine like terms: -2x + 2x = 0 47 + -1x = 67 + 0 47 + -1x = 67 Add '-47' to each side of the equation. 47 + -47 + -1x = 67 + -47 Combine like terms: 47 + -47 = 0 0 + -1x = 67 + -47 -1x = 67 + -47 Combine like terms: 67 + -47 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20
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