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Simplifying 3(x + 2) + 4(5x + -2) = 36 Reorder the terms: 3(2 + x) + 4(5x + -2) = 36 (2 * 3 + x * 3) + 4(5x + -2) = 36 (6 + 3x) + 4(5x + -2) = 36 Reorder the terms: 6 + 3x + 4(-2 + 5x) = 36 6 + 3x + (-2 * 4 + 5x * 4) = 36 6 + 3x + (-8 + 20x) = 36 Reorder the terms: 6 + -8 + 3x + 20x = 36 Combine like terms: 6 + -8 = -2 -2 + 3x + 20x = 36 Combine like terms: 3x + 20x = 23x -2 + 23x = 36 Solving -2 + 23x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 23x = 36 + 2 Combine like terms: -2 + 2 = 0 0 + 23x = 36 + 2 23x = 36 + 2 Combine like terms: 36 + 2 = 38 23x = 38 Divide each side by '23'. x = 1.652173913 Simplifying x = 1.652173913
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