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Simplifying 8(x + -4) + -2(3x + 6) = 0 Reorder the terms: 8(-4 + x) + -2(3x + 6) = 0 (-4 * 8 + x * 8) + -2(3x + 6) = 0 (-32 + 8x) + -2(3x + 6) = 0 Reorder the terms: -32 + 8x + -2(6 + 3x) = 0 -32 + 8x + (6 * -2 + 3x * -2) = 0 -32 + 8x + (-12 + -6x) = 0 Reorder the terms: -32 + -12 + 8x + -6x = 0 Combine like terms: -32 + -12 = -44 -44 + 8x + -6x = 0 Combine like terms: 8x + -6x = 2x -44 + 2x = 0 Solving -44 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 2x = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 2x = 0 + 44 2x = 0 + 44 Combine like terms: 0 + 44 = 44 2x = 44 Divide each side by '2'. x = 22 Simplifying x = 22
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