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Simplifying 7x + -5(8 + -1x) = 2(x + 5) 7x + (8 * -5 + -1x * -5) = 2(x + 5) 7x + (-40 + 5x) = 2(x + 5) Reorder the terms: -40 + 7x + 5x = 2(x + 5) Combine like terms: 7x + 5x = 12x -40 + 12x = 2(x + 5) Reorder the terms: -40 + 12x = 2(5 + x) -40 + 12x = (5 * 2 + x * 2) -40 + 12x = (10 + 2x) Solving -40 + 12x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -40 + 12x + -2x = 10 + 2x + -2x Combine like terms: 12x + -2x = 10x -40 + 10x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + 10x = 10 + 0 -40 + 10x = 10 Add '40' to each side of the equation. -40 + 40 + 10x = 10 + 40 Combine like terms: -40 + 40 = 0 0 + 10x = 10 + 40 10x = 10 + 40 Combine like terms: 10 + 40 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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