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Simplifying -5(x + 8) = -3(x + 2) Reorder the terms: -5(8 + x) = -3(x + 2) (8 * -5 + x * -5) = -3(x + 2) (-40 + -5x) = -3(x + 2) Reorder the terms: -40 + -5x = -3(2 + x) -40 + -5x = (2 * -3 + x * -3) -40 + -5x = (-6 + -3x) Solving -40 + -5x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -40 + -5x + 3x = -6 + -3x + 3x Combine like terms: -5x + 3x = -2x -40 + -2x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 -40 + -2x = -6 + 0 -40 + -2x = -6 Add '40' to each side of the equation. -40 + 40 + -2x = -6 + 40 Combine like terms: -40 + 40 = 0 0 + -2x = -6 + 40 -2x = -6 + 40 Combine like terms: -6 + 40 = 34 -2x = 34 Divide each side by '-2'. x = -17 Simplifying x = -17
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