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Simplifying 8(3x + -5) = 10x + 2 Reorder the terms: 8(-5 + 3x) = 10x + 2 (-5 * 8 + 3x * 8) = 10x + 2 (-40 + 24x) = 10x + 2 Reorder the terms: -40 + 24x = 2 + 10x Solving -40 + 24x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -40 + 24x + -10x = 2 + 10x + -10x Combine like terms: 24x + -10x = 14x -40 + 14x = 2 + 10x + -10x Combine like terms: 10x + -10x = 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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