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Simplifying 5(3x + -8) = 12x Reorder the terms: 5(-8 + 3x) = 12x (-8 * 5 + 3x * 5) = 12x (-40 + 15x) = 12x Solving -40 + 15x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -40 + 15x + -12x = 12x + -12x Combine like terms: 15x + -12x = 3x -40 + 3x = 12x + -12x Combine like terms: 12x + -12x = 0 -40 + 3x = 0 Add '40' to each side of the equation. -40 + 40 + 3x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 3x = 0 + 40 3x = 0 + 40 Combine like terms: 0 + 40 = 40 3x = 40 Divide each side by '3'. x = 13.33333333 Simplifying x = 13.33333333
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