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Simplifying -102 = 6(-3x + -2) Reorder the terms: -102 = 6(-2 + -3x) -102 = (-2 * 6 + -3x * 6) -102 = (-12 + -18x) Solving -102 = -12 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -102 + 18x = -12 + -18x + 18x Combine like terms: -18x + 18x = 0 -102 + 18x = -12 + 0 -102 + 18x = -12 Add '102' to each side of the equation. -102 + 102 + 18x = -12 + 102 Combine like terms: -102 + 102 = 0 0 + 18x = -12 + 102 18x = -12 + 102 Combine like terms: -12 + 102 = 90 18x = 90 Divide each side by '18'. x = 5 Simplifying x = 5
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