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Simplifying 2(2x + 3) + 5(x + -2) = 0 Reorder the terms: 2(3 + 2x) + 5(x + -2) = 0 (3 * 2 + 2x * 2) + 5(x + -2) = 0 (6 + 4x) + 5(x + -2) = 0 Reorder the terms: 6 + 4x + 5(-2 + x) = 0 6 + 4x + (-2 * 5 + x * 5) = 0 6 + 4x + (-10 + 5x) = 0 Reorder the terms: 6 + -10 + 4x + 5x = 0 Combine like terms: 6 + -10 = -4 -4 + 4x + 5x = 0 Combine like terms: 4x + 5x = 9x -4 + 9x = 0 Solving -4 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 9x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = 0 + 4 9x = 0 + 4 Combine like terms: 0 + 4 = 4 9x = 4 Divide each side by '9'. x = 0.4444444444 Simplifying x = 0.4444444444
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