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Simplifying -8(5 + x) = -10 + -2x (5 * -8 + x * -8) = -10 + -2x (-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 = -6x -40 + -6x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 -40 + -6x = -10 + 0 -40 + -6x = -10 Add '40' to each side of the equation. -40 + 40 + -6x = -10 + 40 Combine like terms: -40 + 40 = 0 0 + -6x = -10 + 40 -6x = -10 + 40 Combine like terms: -10 + 40 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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