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Simplifying 8(x + -5) + 3x = 5(x + 2) Reorder the terms: 8(-5 + x) + 3x = 5(x + 2) (-5 * 8 + x * 8) + 3x = 5(x + 2) (-40 + 8x) + 3x = 5(x + 2) Combine like terms: 8x + 3x = 11x -40 + 11x = 5(x + 2) Reorder the terms: -40 + 11x = 5(2 + x) -40 + 11x = (2 * 5 + x * 5) -40 + 11x = (10 + 5x) Solving -40 + 11x = 10 + 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 + 11x + -5x = 10 + 5x + -5x Combine like terms: 11x + -5x = 6x -40 + 6x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 + 6x = 10 + 0 -40 + 6x = 10 Add '40' to each side of the equation. -40 + 40 + 6x = 10 + 40 Combine like terms: -40 + 40 = 0 0 + 6x = 10 + 40 6x = 10 + 40 Combine like terms: 10 + 40 = 50 6x = 50 Divide each side by '6'. x = 8.333333333 Simplifying x = 8.333333333
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