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Simplifying 5(x + -8) + 5x = 2 + 3x Reorder the terms: 5(-8 + x) + 5x = 2 + 3x (-8 * 5 + x * 5) + 5x = 2 + 3x (-40 + 5x) + 5x = 2 + 3x Combine like terms: 5x + 5x = 10x -40 + 10x = 2 + 3x Solving -40 + 10x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -40 + 10x + -3x = 2 + 3x + -3x Combine like terms: 10x + -3x = 7x -40 + 7x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -40 + 7x = 2 + 0 -40 + 7x = 2 Add '40' to each side of the equation. -40 + 40 + 7x = 2 + 40 Combine like terms: -40 + 40 = 0 0 + 7x = 2 + 40 7x = 2 + 40 Combine like terms: 2 + 40 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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