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Simplifying 6x + -2 = 8 + -2(3x + 5) Reorder the terms: -2 + 6x = 8 + -2(3x + 5) Reorder the terms: -2 + 6x = 8 + -2(5 + 3x) -2 + 6x = 8 + (5 * -2 + 3x * -2) -2 + 6x = 8 + (-10 + -6x) Combine like terms: 8 + -10 = -2 -2 + 6x = -2 + -6x Add '2' to each side of the equation. -2 + 2 + 6x = -2 + 2 + -6x Combine like terms: -2 + 2 = 0 0 + 6x = -2 + 2 + -6x 6x = -2 + 2 + -6x Combine like terms: -2 + 2 = 0 6x = 0 + -6x 6x = -6x Solving 6x = -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. 6x + 6x = -6x + 6x Combine like terms: 6x + 6x = 12x 12x = -6x + 6x Combine like terms: -6x + 6x = 0 12x = 0 Divide each side by '12'. x = 0 Simplifying x = 0
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