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Simplifying 2(x + 6) = 7x + -33 Reorder the terms: 2(6 + x) = 7x + -33 (6 * 2 + x * 2) = 7x + -33 (12 + 2x) = 7x + -33 Reorder the terms: 12 + 2x = -33 + 7x Solving 12 + 2x = -33 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + 2x + -7x = -33 + 7x + -7x Combine like terms: 2x + -7x = -5x 12 + -5x = -33 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -5x = -33 + 0 12 + -5x = -33 Add '-12' to each side of the equation. 12 + -12 + -5x = -33 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = -33 + -12 -5x = -33 + -12 Combine like terms: -33 + -12 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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