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Simplifying -8(2x + 5) + -2x = 8(x + -5) Reorder the terms: -8(5 + 2x) + -2x = 8(x + -5) (5 * -8 + 2x * -8) + -2x = 8(x + -5) (-40 + -16x) + -2x = 8(x + -5) Combine like terms: -16x + -2x = -18x -40 + -18x = 8(x + -5) Reorder the terms: -40 + -18x = 8(-5 + x) -40 + -18x = (-5 * 8 + x * 8) -40 + -18x = (-40 + 8x) Add '40' to each side of the equation. -40 + 40 + -18x = -40 + 40 + 8x Combine like terms: -40 + 40 = 0 0 + -18x = -40 + 40 + 8x -18x = -40 + 40 + 8x Combine like terms: -40 + 40 = 0 -18x = 0 + 8x -18x = 8x Solving -18x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -18x + -8x = 8x + -8x Combine like terms: -18x + -8x = -26x -26x = 8x + -8x Combine like terms: 8x + -8x = 0 -26x = 0 Divide each side by '-26'. x = 0 Simplifying x = 0
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