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Simplifying x + -4(3x + -2) = 6x + 2 Reorder the terms: x + -4(-2 + 3x) = 6x + 2 x + (-2 * -4 + 3x * -4) = 6x + 2 x + (8 + -12x) = 6x + 2 Reorder the terms: 8 + x + -12x = 6x + 2 Combine like terms: x + -12x = -11x 8 + -11x = 6x + 2 Reorder the terms: 8 + -11x = 2 + 6x Solving 8 + -11x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + -11x + -6x = 2 + 6x + -6x Combine like terms: -11x + -6x = -17x 8 + -17x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -17x = 2 + 0 8 + -17x = 2 Add '-8' to each side of the equation. 8 + -8 + -17x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -17x = 2 + -8 -17x = 2 + -8 Combine like terms: 2 + -8 = -6 -17x = -6 Divide each side by '-17'. x = 0.3529411765 Simplifying x = 0.3529411765
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