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Simplifying -2(-2x + 3) = -5(x + 8) Reorder the terms: -2(3 + -2x) = -5(x + 8) (3 * -2 + -2x * -2) = -5(x + 8) (-6 + 4x) = -5(x + 8) Reorder the terms: -6 + 4x = -5(8 + x) -6 + 4x = (8 * -5 + x * -5) -6 + 4x = (-40 + -5x) Solving -6 + 4x = -40 + -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 + 4x + 5x = -40 + -5x + 5x Combine like terms: 4x + 5x = 9x -6 + 9x = -40 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 9x = -40 + 0 -6 + 9x = -40 Add '6' to each side of the equation. -6 + 6 + 9x = -40 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = -40 + 6 9x = -40 + 6 Combine like terms: -40 + 6 = -34 9x = -34 Divide each side by '9'. x = -3.777777778 Simplifying x = -3.777777778
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