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Simplifying 5(4x + -8) + -6x = 5x + 14 Reorder the terms: 5(-8 + 4x) + -6x = 5x + 14 (-8 * 5 + 4x * 5) + -6x = 5x + 14 (-40 + 20x) + -6x = 5x + 14 Combine like terms: 20x + -6x = 14x -40 + 14x = 5x + 14 Reorder the terms: -40 + 14x = 14 + 5x Solving -40 + 14x = 14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -40 + 14x + -5x = 14 + 5x + -5x Combine like terms: 14x + -5x = 9x -40 + 9x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 + 9x = 14 + 0 -40 + 9x = 14 Add '40' to each side of the equation. -40 + 40 + 9x = 14 + 40 Combine like terms: -40 + 40 = 0 0 + 9x = 14 + 40 9x = 14 + 40 Combine like terms: 14 + 40 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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