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Simplifying 6x + 6(1 + -4x) = -102 6x + (1 * 6 + -4x * 6) = -102 6x + (6 + -24x) = -102 Reorder the terms: 6 + 6x + -24x = -102 Combine like terms: 6x + -24x = -18x 6 + -18x = -102 Solving 6 + -18x = -102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -18x = -102 + -6 Combine like terms: 6 + -6 = 0 0 + -18x = -102 + -6 -18x = -102 + -6 Combine like terms: -102 + -6 = -108 -18x = -108 Divide each side by '-18'. x = 6 Simplifying x = 6
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