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Simplifying 8(3x + -1) + -4(2x + 6) = 0 Reorder the terms: 8(-1 + 3x) + -4(2x + 6) = 0 (-1 * 8 + 3x * 8) + -4(2x + 6) = 0 (-8 + 24x) + -4(2x + 6) = 0 Reorder the terms: -8 + 24x + -4(6 + 2x) = 0 -8 + 24x + (6 * -4 + 2x * -4) = 0 -8 + 24x + (-24 + -8x) = 0 Reorder the terms: -8 + -24 + 24x + -8x = 0 Combine like terms: -8 + -24 = -32 -32 + 24x + -8x = 0 Combine like terms: 24x + -8x = 16x -32 + 16x = 0 Solving -32 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 16x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 16x = 0 + 32 16x = 0 + 32 Combine like terms: 0 + 32 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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