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Simplifying -3(-2x + 4) + -2(x + -5) = 0 Reorder the terms: -3(4 + -2x) + -2(x + -5) = 0 (4 * -3 + -2x * -3) + -2(x + -5) = 0 (-12 + 6x) + -2(x + -5) = 0 Reorder the terms: -12 + 6x + -2(-5 + x) = 0 -12 + 6x + (-5 * -2 + x * -2) = 0 -12 + 6x + (10 + -2x) = 0 Reorder the terms: -12 + 10 + 6x + -2x = 0 Combine like terms: -12 + 10 = -2 -2 + 6x + -2x = 0 Combine like terms: 6x + -2x = 4x -2 + 4x = 0 Solving -2 + 4x = 0 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 + 4x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 0 + 2 4x = 0 + 2 Combine like terms: 0 + 2 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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