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Simplifying 5(x + -8) = 2(x + 3) Reorder the terms: 5(-8 + x) = 2(x + 3) (-8 * 5 + x * 5) = 2(x + 3) (-40 + 5x) = 2(x + 3) Reorder the terms: -40 + 5x = 2(3 + x) -40 + 5x = (3 * 2 + x * 2) -40 + 5x = (6 + 2x) Solving -40 + 5x = 6 + 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 + 5x + -2x = 6 + 2x + -2x Combine like terms: 5x + -2x = 3x -40 + 3x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + 3x = 6 + 0 -40 + 3x = 6 Add '40' to each side of the equation. -40 + 40 + 3x = 6 + 40 Combine like terms: -40 + 40 = 0 0 + 3x = 6 + 40 3x = 6 + 40 Combine like terms: 6 + 40 = 46 3x = 46 Divide each side by '3'. x = 15.33333333 Simplifying x = 15.33333333
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