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Simplifying 4(x + -8) + -1(6x + 12) = 0 Reorder the terms: 4(-8 + x) + -1(6x + 12) = 0 (-8 * 4 + x * 4) + -1(6x + 12) = 0 (-32 + 4x) + -1(6x + 12) = 0 Reorder the terms: -32 + 4x + -1(12 + 6x) = 0 -32 + 4x + (12 * -1 + 6x * -1) = 0 -32 + 4x + (-12 + -6x) = 0 Reorder the terms: -32 + -12 + 4x + -6x = 0 Combine like terms: -32 + -12 = -44 -44 + 4x + -6x = 0 Combine like terms: 4x + -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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