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Simplifying 2(4x + -8) + -4(x + 3) = 0 Reorder the terms: 2(-8 + 4x) + -4(x + 3) = 0 (-8 * 2 + 4x * 2) + -4(x + 3) = 0 (-16 + 8x) + -4(x + 3) = 0 Reorder the terms: -16 + 8x + -4(3 + x) = 0 -16 + 8x + (3 * -4 + x * -4) = 0 -16 + 8x + (-12 + -4x) = 0 Reorder the terms: -16 + -12 + 8x + -4x = 0 Combine like terms: -16 + -12 = -28 -28 + 8x + -4x = 0 Combine like terms: 8x + -4x = 4x -28 + 4x = 0 Solving -28 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 4x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 4x = 0 + 28 4x = 0 + 28 Combine like terms: 0 + 28 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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