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Simplifying -3(2x + 1) + 6 = 45 Reorder the terms: -3(1 + 2x) + 6 = 45 (1 * -3 + 2x * -3) + 6 = 45 (-3 + -6x) + 6 = 45 Reorder the terms: -3 + 6 + -6x = 45 Combine like terms: -3 + 6 = 3 3 + -6x = 45 Solving 3 + -6x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -6x = 45 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = 45 + -3 -6x = 45 + -3 Combine like terms: 45 + -3 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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