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Simplifying 2(2x + -5) + -1(3x + 2) = 0 Reorder the terms: 2(-5 + 2x) + -1(3x + 2) = 0 (-5 * 2 + 2x * 2) + -1(3x + 2) = 0 (-10 + 4x) + -1(3x + 2) = 0 Reorder the terms: -10 + 4x + -1(2 + 3x) = 0 -10 + 4x + (2 * -1 + 3x * -1) = 0 -10 + 4x + (-2 + -3x) = 0 Reorder the terms: -10 + -2 + 4x + -3x = 0 Combine like terms: -10 + -2 = -12 -12 + 4x + -3x = 0 Combine like terms: 4x + -3x = 1x -12 + 1x = 0 Solving -12 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 0 + 12 1x = 0 + 12 Combine like terms: 0 + 12 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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