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Simplifying -3x + 62 = 2x + 17 Reorder the terms: 62 + -3x = 2x + 17 Reorder the terms: 62 + -3x = 17 + 2x Solving 62 + -3x = 17 + 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. 62 + -3x + -2x = 17 + 2x + -2x Combine like terms: -3x + -2x = -5x 62 + -5x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 62 + -5x = 17 + 0 62 + -5x = 17 Add '-62' to each side of the equation. 62 + -62 + -5x = 17 + -62 Combine like terms: 62 + -62 = 0 0 + -5x = 17 + -62 -5x = 17 + -62 Combine like terms: 17 + -62 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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