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Simplifying -6x + 6(4x + -8) = 78 Reorder the terms: -6x + 6(-8 + 4x) = 78 -6x + (-8 * 6 + 4x * 6) = 78 -6x + (-48 + 24x) = 78 Reorder the terms: -48 + -6x + 24x = 78 Combine like terms: -6x + 24x = 18x -48 + 18x = 78 Solving -48 + 18x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 18x = 78 + 48 Combine like terms: -48 + 48 = 0 0 + 18x = 78 + 48 18x = 78 + 48 Combine like terms: 78 + 48 = 126 18x = 126 Divide each side by '18'. x = 7 Simplifying x = 7
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