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Simplifying 2(x + 3) = 33 + -7x Reorder the terms: 2(3 + x) = 33 + -7x (3 * 2 + x * 2) = 33 + -7x (6 + 2x) = 33 + -7x Solving 6 + 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. 6 + 2x + 7x = 33 + -7x + 7x Combine like terms: 2x + 7x = 9x 6 + 9x = 33 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + 9x = 33 + 0 6 + 9x = 33 Add '-6' to each side of the equation. 6 + -6 + 9x = 33 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = 33 + -6 9x = 33 + -6 Combine like terms: 33 + -6 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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