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