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Simplifying 5(-5x + 1) + -5x + -1 = 154 Reorder the terms: 5(1 + -5x) + -5x + -1 = 154 (1 * 5 + -5x * 5) + -5x + -1 = 154 (5 + -25x) + -5x + -1 = 154 Reorder the terms: 5 + -1 + -25x + -5x = 154 Combine like terms: 5 + -1 = 4 4 + -25x + -5x = 154 Combine like terms: -25x + -5x = -30x 4 + -30x = 154 Solving 4 + -30x = 154 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -30x = 154 + -4 Combine like terms: 4 + -4 = 0 0 + -30x = 154 + -4 -30x = 154 + -4 Combine like terms: 154 + -4 = 150 -30x = 150 Divide each side by '-30'. x = -5 Simplifying x = -5
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