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Simplifying 6(3x + -1) + -2x = 2(2x + -51 + -8) Reorder the terms: 6(-1 + 3x) + -2x = 2(2x + -51 + -8) (-1 * 6 + 3x * 6) + -2x = 2(2x + -51 + -8) (-6 + 18x) + -2x = 2(2x + -51 + -8) Combine like terms: 18x + -2x = 16x -6 + 16x = 2(2x + -51 + -8) Reorder the terms: -6 + 16x = 2(-51 + -8 + 2x) Combine like terms: -51 + -8 = -59 -6 + 16x = 2(-59 + 2x) -6 + 16x = (-59 * 2 + 2x * 2) -6 + 16x = (-118 + 4x) Solving -6 + 16x = -118 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 16x + -4x = -118 + 4x + -4x Combine like terms: 16x + -4x = 12x -6 + 12x = -118 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 12x = -118 + 0 -6 + 12x = -118 Add '6' to each side of the equation. -6 + 6 + 12x = -118 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = -118 + 6 12x = -118 + 6 Combine like terms: -118 + 6 = -112 12x = -112 Divide each side by '12'. x = -9.333333333 Simplifying x = -9.333333333
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