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Simplifying -3(6x + 8) + 4(x + -8) = 0 Reorder the terms: -3(8 + 6x) + 4(x + -8) = 0 (8 * -3 + 6x * -3) + 4(x + -8) = 0 (-24 + -18x) + 4(x + -8) = 0 Reorder the terms: -24 + -18x + 4(-8 + x) = 0 -24 + -18x + (-8 * 4 + x * 4) = 0 -24 + -18x + (-32 + 4x) = 0 Reorder the terms: -24 + -32 + -18x + 4x = 0 Combine like terms: -24 + -32 = -56 -56 + -18x + 4x = 0 Combine like terms: -18x + 4x = -14x -56 + -14x = 0 Solving -56 + -14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + -14x = 0 + 56 Combine like terms: -56 + 56 = 0 0 + -14x = 0 + 56 -14x = 0 + 56 Combine like terms: 0 + 56 = 56 -14x = 56 Divide each side by '-14'. x = -4 Simplifying x = -4
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