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Simplifying 4(x + -6) + -1(4x + 4) + -2(2x + 6) = 0 Reorder the terms: 4(-6 + x) + -1(4x + 4) + -2(2x + 6) = 0 (-6 * 4 + x * 4) + -1(4x + 4) + -2(2x + 6) = 0 (-24 + 4x) + -1(4x + 4) + -2(2x + 6) = 0 Reorder the terms: -24 + 4x + -1(4 + 4x) + -2(2x + 6) = 0 -24 + 4x + (4 * -1 + 4x * -1) + -2(2x + 6) = 0 -24 + 4x + (-4 + -4x) + -2(2x + 6) = 0 Reorder the terms: -24 + 4x + -4 + -4x + -2(6 + 2x) = 0 -24 + 4x + -4 + -4x + (6 * -2 + 2x * -2) = 0 -24 + 4x + -4 + -4x + (-12 + -4x) = 0 Reorder the terms: -24 + -4 + -12 + 4x + -4x + -4x = 0 Combine like terms: -24 + -4 = -28 -28 + -12 + 4x + -4x + -4x = 0 Combine like terms: -28 + -12 = -40 -40 + 4x + -4x + -4x = 0 Combine like terms: 4x + -4x = 0 -40 + 0 + -4x = 0 -40 + -4x = 0 Solving -40 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -4x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -4x = 0 + 40 -4x = 0 + 40 Combine like terms: 0 + 40 = 40 -4x = 40 Divide each side by '-4'. x = -10 Simplifying x = -10
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