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Simplifying -7x + -6(3x + -12) = 78 Reorder the terms: -7x + -6(-12 + 3x) = 78 -7x + (-12 * -6 + 3x * -6) = 78 -7x + (72 + -18x) = 78 Reorder the terms: 72 + -7x + -18x = 78 Combine like terms: -7x + -18x = -25x 72 + -25x = 78 Solving 72 + -25x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + -25x = 78 + -72 Combine like terms: 72 + -72 = 0 0 + -25x = 78 + -72 -25x = 78 + -72 Combine like terms: 78 + -72 = 6 -25x = 6 Divide each side by '-25'. x = -0.24 Simplifying x = -0.24
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