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Simplifying 2(6.5x + -10) = 3x + 20 Reorder the terms: 2(-10 + 6.5x) = 3x + 20 (-10 * 2 + 6.5x * 2) = 3x + 20 (-20 + 13x) = 3x + 20 Reorder the terms: -20 + 13x = 20 + 3x Solving -20 + 13x = 20 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -20 + 13x + -3x = 20 + 3x + -3x Combine like terms: 13x + -3x = 10x -20 + 10x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 10x = 20 + 0 -20 + 10x = 20 Add '20' to each side of the equation. -20 + 20 + 10x = 20 + 20 Combine like terms: -20 + 20 = 0 0 + 10x = 20 + 20 10x = 20 + 20 Combine like terms: 20 + 20 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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