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Simplifying 2x + 6 = -4(3x + -2) Reorder the terms: 6 + 2x = -4(3x + -2) Reorder the terms: 6 + 2x = -4(-2 + 3x) 6 + 2x = (-2 * -4 + 3x * -4) 6 + 2x = (8 + -12x) Solving 6 + 2x = 8 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 6 + 2x + 12x = 8 + -12x + 12x Combine like terms: 2x + 12x = 14x 6 + 14x = 8 + -12x + 12x Combine like terms: -12x + 12x = 0 6 + 14x = 8 + 0 6 + 14x = 8 Add '-6' to each side of the equation. 6 + -6 + 14x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = 8 + -6 14x = 8 + -6 Combine like terms: 8 + -6 = 2 14x = 2 Divide each side by '14'. x = 0.1428571429 Simplifying x = 0.1428571429
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