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Simplifying 8(2x + -5) = 5(x + 1) Reorder the terms: 8(-5 + 2x) = 5(x + 1) (-5 * 8 + 2x * 8) = 5(x + 1) (-40 + 16x) = 5(x + 1) Reorder the terms: -40 + 16x = 5(1 + x) -40 + 16x = (1 * 5 + x * 5) -40 + 16x = (5 + 5x) Solving -40 + 16x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -40 + 16x + -5x = 5 + 5x + -5x Combine like terms: 16x + -5x = 11x -40 + 11x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 + 11x = 5 + 0 -40 + 11x = 5 Add '40' to each side of the equation. -40 + 40 + 11x = 5 + 40 Combine like terms: -40 + 40 = 0 0 + 11x = 5 + 40 11x = 5 + 40 Combine like terms: 5 + 40 = 45 11x = 45 Divide each side by '11'. x = 4.090909091 Simplifying x = 4.090909091
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