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Simplifying -3(x + 2) = 5(x + -5) Reorder the terms: -3(2 + x) = 5(x + -5) (2 * -3 + x * -3) = 5(x + -5) (-6 + -3x) = 5(x + -5) Reorder the terms: -6 + -3x = 5(-5 + x) -6 + -3x = (-5 * 5 + x * 5) -6 + -3x = (-25 + 5x) Solving -6 + -3x = -25 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + -3x + -5x = -25 + 5x + -5x Combine like terms: -3x + -5x = -8x -6 + -8x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -8x = -25 + 0 -6 + -8x = -25 Add '6' to each side of the equation. -6 + 6 + -8x = -25 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = -25 + 6 -8x = -25 + 6 Combine like terms: -25 + 6 = -19 -8x = -19 Divide each side by '-8'. x = 2.375 Simplifying x = 2.375
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