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Simplifying 33 + -2(7x + 9) = -9 + -6x Reorder the terms: 33 + -2(9 + 7x) = -9 + -6x 33 + (9 * -2 + 7x * -2) = -9 + -6x 33 + (-18 + -14x) = -9 + -6x Combine like terms: 33 + -18 = 15 15 + -14x = -9 + -6x Solving 15 + -14x = -9 + -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. 15 + -14x + 6x = -9 + -6x + 6x Combine like terms: -14x + 6x = -8x 15 + -8x = -9 + -6x + 6x Combine like terms: -6x + 6x = 0 15 + -8x = -9 + 0 15 + -8x = -9 Add '-15' to each side of the equation. 15 + -15 + -8x = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = -9 + -15 -8x = -9 + -15 Combine like terms: -9 + -15 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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