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Simplifying 3(1 + -2x) + -4(1 + 5x) = -79 (1 * 3 + -2x * 3) + -4(1 + 5x) = -79 (3 + -6x) + -4(1 + 5x) = -79 3 + -6x + (1 * -4 + 5x * -4) = -79 3 + -6x + (-4 + -20x) = -79 Reorder the terms: 3 + -4 + -6x + -20x = -79 Combine like terms: 3 + -4 = -1 -1 + -6x + -20x = -79 Combine like terms: -6x + -20x = -26x -1 + -26x = -79 Solving -1 + -26x = -79 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -26x = -79 + 1 Combine like terms: -1 + 1 = 0 0 + -26x = -79 + 1 -26x = -79 + 1 Combine like terms: -79 + 1 = -78 -26x = -78 Divide each side by '-26'. x = 3 Simplifying x = 3
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