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Simplifying -8(x + 5) + 5(2x + 1) = 56 Reorder the terms: -8(5 + x) + 5(2x + 1) = 56 (5 * -8 + x * -8) + 5(2x + 1) = 56 (-40 + -8x) + 5(2x + 1) = 56 Reorder the terms: -40 + -8x + 5(1 + 2x) = 56 -40 + -8x + (1 * 5 + 2x * 5) = 56 -40 + -8x + (5 + 10x) = 56 Reorder the terms: -40 + 5 + -8x + 10x = 56 Combine like terms: -40 + 5 = -35 -35 + -8x + 10x = 56 Combine like terms: -8x + 10x = 2x -35 + 2x = 56 Solving -35 + 2x = 56 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 2x = 56 + 35 Combine like terms: -35 + 35 = 0 0 + 2x = 56 + 35 2x = 56 + 35 Combine like terms: 56 + 35 = 91 2x = 91 Divide each side by '2'. x = 45.5 Simplifying x = 45.5
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