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Simplifying -5(1 + -5x) + 5(-8 + -2) = -12x (1 * -5 + -5x * -5) + 5(-8 + -2) = -12x (-5 + 25x) + 5(-8 + -2) = -12x Combine like terms: -8 + -2 = -10 -5 + 25x + 5(-10) = -12x Multiply 5 * -10 -5 + 25x + -50 = -12x Reorder the terms: -5 + -50 + 25x = -12x Combine like terms: -5 + -50 = -55 -55 + 25x = -12x Solving -55 + 25x = -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -55 + 25x + 12x = -12x + 12x Combine like terms: 25x + 12x = 37x -55 + 37x = -12x + 12x Combine like terms: -12x + 12x = 0 -55 + 37x = 0 Add '55' to each side of the equation. -55 + 55 + 37x = 0 + 55 Combine like terms: -55 + 55 = 0 0 + 37x = 0 + 55 37x = 0 + 55 Combine like terms: 0 + 55 = 55 37x = 55 Divide each side by '37'. x = 1.486486486 Simplifying x = 1.486486486
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