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Simplifying 83 + -2x = 32 + -3x + -2 Reorder the terms: 83 + -2x = 32 + -2 + -3x Combine like terms: 32 + -2 = 30 83 + -2x = 30 + -3x Solving 83 + -2x = 30 + -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. 83 + -2x + 3x = 30 + -3x + 3x Combine like terms: -2x + 3x = 1x 83 + 1x = 30 + -3x + 3x Combine like terms: -3x + 3x = 0 83 + 1x = 30 + 0 83 + 1x = 30 Add '-83' to each side of the equation. 83 + -83 + 1x = 30 + -83 Combine like terms: 83 + -83 = 0 0 + 1x = 30 + -83 1x = 30 + -83 Combine like terms: 30 + -83 = -53 1x = -53 Divide each side by '1'. x = -53 Simplifying x = -53
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