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Simplifying 2(3x + 7) = -45 + 35 Reorder the terms: 2(7 + 3x) = -45 + 35 (7 * 2 + 3x * 2) = -45 + 35 (14 + 6x) = -45 + 35 Combine like terms: -45 + 35 = -10 14 + 6x = -10 Solving 14 + 6x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 6x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = -10 + -14 6x = -10 + -14 Combine like terms: -10 + -14 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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