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Simplifying 3(4x + 2) + -6x = 5x + -5(2 + x) Reorder the terms: 3(2 + 4x) + -6x = 5x + -5(2 + x) (2 * 3 + 4x * 3) + -6x = 5x + -5(2 + x) (6 + 12x) + -6x = 5x + -5(2 + x) Combine like terms: 12x + -6x = 6x 6 + 6x = 5x + -5(2 + x) 6 + 6x = 5x + (2 * -5 + x * -5) 6 + 6x = 5x + (-10 + -5x) Reorder the terms: 6 + 6x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 6x = -10 + 0 6 + 6x = -10 Solving 6 + 6x = -10 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 + 6x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = -10 + -6 6x = -10 + -6 Combine like terms: -10 + -6 = -16 6x = -16 Divide each side by '6'. x = -2.666666667 Simplifying x = -2.666666667
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