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Simplifying 7x + 5(x + -8) = 6x + 2 Reorder the terms: 7x + 5(-8 + x) = 6x + 2 7x + (-8 * 5 + x * 5) = 6x + 2 7x + (-40 + 5x) = 6x + 2 Reorder the terms: -40 + 7x + 5x = 6x + 2 Combine like terms: 7x + 5x = 12x -40 + 12x = 6x + 2 Reorder the terms: -40 + 12x = 2 + 6x Solving -40 + 12x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -40 + 12x + -6x = 2 + 6x + -6x Combine like terms: 12x + -6x = 6x -40 + 6x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -40 + 6x = 2 + 0 -40 + 6x = 2 Add '40' to each side of the equation. -40 + 40 + 6x = 2 + 40 Combine like terms: -40 + 40 = 0 0 + 6x = 2 + 40 6x = 2 + 40 Combine like terms: 2 + 40 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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