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Simplifying 4(2x + -8) + -6(x + -4) = 2 Reorder the terms: 4(-8 + 2x) + -6(x + -4) = 2 (-8 * 4 + 2x * 4) + -6(x + -4) = 2 (-32 + 8x) + -6(x + -4) = 2 Reorder the terms: -32 + 8x + -6(-4 + x) = 2 -32 + 8x + (-4 * -6 + x * -6) = 2 -32 + 8x + (24 + -6x) = 2 Reorder the terms: -32 + 24 + 8x + -6x = 2 Combine like terms: -32 + 24 = -8 -8 + 8x + -6x = 2 Combine like terms: 8x + -6x = 2x -8 + 2x = 2 Solving -8 + 2x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 2 + 8 2x = 2 + 8 Combine like terms: 2 + 8 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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