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Simplifying -8(x + 5) = 2(x + -5) Reorder the terms: -8(5 + x) = 2(x + -5) (5 * -8 + x * -8) = 2(x + -5) (-40 + -8x) = 2(x + -5) Reorder the terms: -40 + -8x = 2(-5 + x) -40 + -8x = (-5 * 2 + x * 2) -40 + -8x = (-10 + 2x) Solving -40 + -8x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -40 + -8x + -2x = -10 + 2x + -2x Combine like terms: -8x + -2x = -10x -40 + -10x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + -10x = -10 + 0 -40 + -10x = -10 Add '40' to each side of the equation. -40 + 40 + -10x = -10 + 40 Combine like terms: -40 + 40 = 0 0 + -10x = -10 + 40 -10x = -10 + 40 Combine like terms: -10 + 40 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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