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Simplifying 8(2x + -5) = 2x + 2 Reorder the terms: 8(-5 + 2x) = 2x + 2 (-5 * 8 + 2x * 8) = 2x + 2 (-40 + 16x) = 2x + 2 Reorder the terms: -40 + 16x = 2 + 2x Solving -40 + 16x = 2 + 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 + 16x + -2x = 2 + 2x + -2x Combine like terms: 16x + -2x = 14x -40 + 14x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + 14x = 2 + 0 -40 + 14x = 2 Add '40' to each side of the equation. -40 + 40 + 14x = 2 + 40 Combine like terms: -40 + 40 = 0 0 + 14x = 2 + 40 14x = 2 + 40 Combine like terms: 2 + 40 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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