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Simplifying 5(3x + 2) + -2(X + 5) = 20 Reorder the terms: 5(2 + 3x) + -2(X + 5) = 20 (2 * 5 + 3x * 5) + -2(X + 5) = 20 (10 + 15x) + -2(X + 5) = 20 Reorder the terms: 10 + 15x + -2(5 + X) = 20 10 + 15x + (5 * -2 + X * -2) = 20 10 + 15x + (-10 + -2X) = 20 Reorder the terms: 10 + -10 + -2X + 15x = 20 Combine like terms: 10 + -10 = 0 0 + -2X + 15x = 20 -2X + 15x = 20 Solving -2X + 15x = 20 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15x' to each side of the equation. -2X + 15x + -15x = 20 + -15x Combine like terms: 15x + -15x = 0 -2X + 0 = 20 + -15x -2X = 20 + -15x Divide each side by '-2'. X = -10 + 7.5x Simplifying X = -10 + 7.5x
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