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Simplifying -4(1 + -6x) + 6(-3x + -8) = -76 (1 * -4 + -6x * -4) + 6(-3x + -8) = -76 (-4 + 24x) + 6(-3x + -8) = -76 Reorder the terms: -4 + 24x + 6(-8 + -3x) = -76 -4 + 24x + (-8 * 6 + -3x * 6) = -76 -4 + 24x + (-48 + -18x) = -76 Reorder the terms: -4 + -48 + 24x + -18x = -76 Combine like terms: -4 + -48 = -52 -52 + 24x + -18x = -76 Combine like terms: 24x + -18x = 6x -52 + 6x = -76 Solving -52 + 6x = -76 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 6x = -76 + 52 Combine like terms: -52 + 52 = 0 0 + 6x = -76 + 52 6x = -76 + 52 Combine like terms: -76 + 52 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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