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Simplifying -3(x + 2) + -45 = 8 + -41 Reorder the terms: -3(2 + x) + -45 = 8 + -41 (2 * -3 + x * -3) + -45 = 8 + -41 (-6 + -3x) + -45 = 8 + -41 Reorder the terms: -6 + -45 + -3x = 8 + -41 Combine like terms: -6 + -45 = -51 -51 + -3x = 8 + -41 Combine like terms: 8 + -41 = -33 -51 + -3x = -33 Solving -51 + -3x = -33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + -3x = -33 + 51 Combine like terms: -51 + 51 = 0 0 + -3x = -33 + 51 -3x = -33 + 51 Combine like terms: -33 + 51 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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