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Simplifying 3(2x + -4) + 2(x + -8) = 0 Reorder the terms: 3(-4 + 2x) + 2(x + -8) = 0 (-4 * 3 + 2x * 3) + 2(x + -8) = 0 (-12 + 6x) + 2(x + -8) = 0 Reorder the terms: -12 + 6x + 2(-8 + x) = 0 -12 + 6x + (-8 * 2 + x * 2) = 0 -12 + 6x + (-16 + 2x) = 0 Reorder the terms: -12 + -16 + 6x + 2x = 0 Combine like terms: -12 + -16 = -28 -28 + 6x + 2x = 0 Combine like terms: 6x + 2x = 8x -28 + 8x = 0 Solving -28 + 8x = 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 + 8x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 8x = 0 + 28 8x = 0 + 28 Combine like terms: 0 + 28 = 28 8x = 28 Divide each side by '8'. x = 3.5 Simplifying x = 3.5
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