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Simplifying 7x + 32 = 12x + -33 Reorder the terms: 32 + 7x = 12x + -33 Reorder the terms: 32 + 7x = -33 + 12x Solving 32 + 7x = -33 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 32 + 7x + -12x = -33 + 12x + -12x Combine like terms: 7x + -12x = -5x 32 + -5x = -33 + 12x + -12x Combine like terms: 12x + -12x = 0 32 + -5x = -33 + 0 32 + -5x = -33 Add '-32' to each side of the equation. 32 + -32 + -5x = -33 + -32 Combine like terms: 32 + -32 = 0 0 + -5x = -33 + -32 -5x = -33 + -32 Combine like terms: -33 + -32 = -65 -5x = -65 Divide each side by '-5'. x = 13 Simplifying x = 13
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