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Simplifying 6x + 2(2x + -3) + 8 = 12 Reorder the terms: 6x + 2(-3 + 2x) + 8 = 12 6x + (-3 * 2 + 2x * 2) + 8 = 12 6x + (-6 + 4x) + 8 = 12 Reorder the terms: -6 + 8 + 6x + 4x = 12 Combine like terms: -6 + 8 = 2 2 + 6x + 4x = 12 Combine like terms: 6x + 4x = 10x 2 + 10x = 12 Solving 2 + 10x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 10x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = 12 + -2 10x = 12 + -2 Combine like terms: 12 + -2 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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