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Simplifying 2(3x + -5) = 5(x + 8) Reorder the terms: 2(-5 + 3x) = 5(x + 8) (-5 * 2 + 3x * 2) = 5(x + 8) (-10 + 6x) = 5(x + 8) Reorder the terms: -10 + 6x = 5(8 + x) -10 + 6x = (8 * 5 + x * 5) -10 + 6x = (40 + 5x) Solving -10 + 6x = 40 + 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. -10 + 6x + -5x = 40 + 5x + -5x Combine like terms: 6x + -5x = 1x -10 + 1x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 1x = 40 + 0 -10 + 1x = 40 Add '10' to each side of the equation. -10 + 10 + 1x = 40 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 40 + 10 1x = 40 + 10 Combine like terms: 40 + 10 = 50 1x = 50 Divide each side by '1'. x = 50 Simplifying x = 50
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