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Simplifying -3(6x + 8) + 2(x + -4) = 0 Reorder the terms: -3(8 + 6x) + 2(x + -4) = 0 (8 * -3 + 6x * -3) + 2(x + -4) = 0 (-24 + -18x) + 2(x + -4) = 0 Reorder the terms: -24 + -18x + 2(-4 + x) = 0 -24 + -18x + (-4 * 2 + x * 2) = 0 -24 + -18x + (-8 + 2x) = 0 Reorder the terms: -24 + -8 + -18x + 2x = 0 Combine like terms: -24 + -8 = -32 -32 + -18x + 2x = 0 Combine like terms: -18x + 2x = -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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