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Simplifying -8(1 + -2x) = 5(5x + -7) (1 * -8 + -2x * -8) = 5(5x + -7) (-8 + 16x) = 5(5x + -7) Reorder the terms: -8 + 16x = 5(-7 + 5x) -8 + 16x = (-7 * 5 + 5x * 5) -8 + 16x = (-35 + 25x) Solving -8 + 16x = -35 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -8 + 16x + -25x = -35 + 25x + -25x Combine like terms: 16x + -25x = -9x -8 + -9x = -35 + 25x + -25x Combine like terms: 25x + -25x = 0 -8 + -9x = -35 + 0 -8 + -9x = -35 Add '8' to each side of the equation. -8 + 8 + -9x = -35 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = -35 + 8 -9x = -35 + 8 Combine like terms: -35 + 8 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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