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Simplifying 5(x + -8) + 8x = 5 + -7x Reorder the terms: 5(-8 + x) + 8x = 5 + -7x (-8 * 5 + x * 5) + 8x = 5 + -7x (-40 + 5x) + 8x = 5 + -7x Combine like terms: 5x + 8x = 13x -40 + 13x = 5 + -7x Solving -40 + 13x = 5 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -40 + 13x + 7x = 5 + -7x + 7x Combine like terms: 13x + 7x = 20x -40 + 20x = 5 + -7x + 7x Combine like terms: -7x + 7x = 0 -40 + 20x = 5 + 0 -40 + 20x = 5 Add '40' to each side of the equation. -40 + 40 + 20x = 5 + 40 Combine like terms: -40 + 40 = 0 0 + 20x = 5 + 40 20x = 5 + 40 Combine like terms: 5 + 40 = 45 20x = 45 Divide each side by '20'. x = 2.25 Simplifying x = 2.25
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