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Simplifying 3(2x + -2) + -4(x + 8) = 0 Reorder the terms: 3(-2 + 2x) + -4(x + 8) = 0 (-2 * 3 + 2x * 3) + -4(x + 8) = 0 (-6 + 6x) + -4(x + 8) = 0 Reorder the terms: -6 + 6x + -4(8 + x) = 0 -6 + 6x + (8 * -4 + x * -4) = 0 -6 + 6x + (-32 + -4x) = 0 Reorder the terms: -6 + -32 + 6x + -4x = 0 Combine like terms: -6 + -32 = -38 -38 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x -38 + 2x = 0 Solving -38 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 2x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 2x = 0 + 38 2x = 0 + 38 Combine like terms: 0 + 38 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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