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Simplifying 12 + -7x = 2x + 33 + -12x Reorder the terms: 12 + -7x = 33 + 2x + -12x Combine like terms: 2x + -12x = -10x 12 + -7x = 33 + -10x Solving 12 + -7x = 33 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 12 + -7x + 10x = 33 + -10x + 10x Combine like terms: -7x + 10x = 3x 12 + 3x = 33 + -10x + 10x Combine like terms: -10x + 10x = 0 12 + 3x = 33 + 0 12 + 3x = 33 Add '-12' to each side of the equation. 12 + -12 + 3x = 33 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 33 + -12 3x = 33 + -12 Combine like terms: 33 + -12 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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