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Simplifying 8(-3x + -2) = 5(-5x + -7) Reorder the terms: 8(-2 + -3x) = 5(-5x + -7) (-2 * 8 + -3x * 8) = 5(-5x + -7) (-16 + -24x) = 5(-5x + -7) Reorder the terms: -16 + -24x = 5(-7 + -5x) -16 + -24x = (-7 * 5 + -5x * 5) -16 + -24x = (-35 + -25x) Solving -16 + -24x = -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. -16 + -24x + 25x = -35 + -25x + 25x Combine like terms: -24x + 25x = 1x -16 + 1x = -35 + -25x + 25x Combine like terms: -25x + 25x = 0 -16 + 1x = -35 + 0 -16 + 1x = -35 Add '16' to each side of the equation. -16 + 16 + 1x = -35 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = -35 + 16 1x = -35 + 16 Combine like terms: -35 + 16 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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