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Simplifying 5(-5x + -5) + -5x + 5 = -290 Reorder the terms: 5(-5 + -5x) + -5x + 5 = -290 (-5 * 5 + -5x * 5) + -5x + 5 = -290 (-25 + -25x) + -5x + 5 = -290 Reorder the terms: -25 + 5 + -25x + -5x = -290 Combine like terms: -25 + 5 = -20 -20 + -25x + -5x = -290 Combine like terms: -25x + -5x = -30x -20 + -30x = -290 Solving -20 + -30x = -290 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -30x = -290 + 20 Combine like terms: -20 + 20 = 0 0 + -30x = -290 + 20 -30x = -290 + 20 Combine like terms: -290 + 20 = -270 -30x = -270 Divide each side by '-30'. x = 9 Simplifying x = 9
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