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Simplifying 3x + 12 + -5x + 20 = 1 + -3x + -2 Reorder the terms: 12 + 20 + 3x + -5x = 1 + -3x + -2 Combine like terms: 12 + 20 = 32 32 + 3x + -5x = 1 + -3x + -2 Combine like terms: 3x + -5x = -2x 32 + -2x = 1 + -3x + -2 Reorder the terms: 32 + -2x = 1 + -2 + -3x Combine like terms: 1 + -2 = -1 32 + -2x = -1 + -3x Solving 32 + -2x = -1 + -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. 32 + -2x + 3x = -1 + -3x + 3x Combine like terms: -2x + 3x = 1x 32 + 1x = -1 + -3x + 3x Combine like terms: -3x + 3x = 0 32 + 1x = -1 + 0 32 + 1x = -1 Add '-32' to each side of the equation. 32 + -32 + 1x = -1 + -32 Combine like terms: 32 + -32 = 0 0 + 1x = -1 + -32 1x = -1 + -32 Combine like terms: -1 + -32 = -33 1x = -33 Divide each side by '1'. x = -33 Simplifying x = -33
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