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Simplifying 4(x + -3) + -4(2x + -6) = 0 Reorder the terms: 4(-3 + x) + -4(2x + -6) = 0 (-3 * 4 + x * 4) + -4(2x + -6) = 0 (-12 + 4x) + -4(2x + -6) = 0 Reorder the terms: -12 + 4x + -4(-6 + 2x) = 0 -12 + 4x + (-6 * -4 + 2x * -4) = 0 -12 + 4x + (24 + -8x) = 0 Reorder the terms: -12 + 24 + 4x + -8x = 0 Combine like terms: -12 + 24 = 12 12 + 4x + -8x = 0 Combine like terms: 4x + -8x = -4x 12 + -4x = 0 Solving 12 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -4x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 0 + -12 -4x = 0 + -12 Combine like terms: 0 + -12 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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