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Simplifying 3x + 12 = -33 + 6x Reorder the terms: 12 + 3x = -33 + 6x Solving 12 + 3x = -33 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 3x + -6x = -33 + 6x + -6x Combine like terms: 3x + -6x = -3x 12 + -3x = -33 + 6x + -6x Combine like terms: 6x + -6x = 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 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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