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Simplifying 12x + 6 = 2(2x + 43) Reorder the terms: 6 + 12x = 2(2x + 43) Reorder the terms: 6 + 12x = 2(43 + 2x) 6 + 12x = (43 * 2 + 2x * 2) 6 + 12x = (86 + 4x) Solving 6 + 12x = 86 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 12x + -4x = 86 + 4x + -4x Combine like terms: 12x + -4x = 8x 6 + 8x = 86 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 8x = 86 + 0 6 + 8x = 86 Add '-6' to each side of the equation. 6 + -6 + 8x = 86 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 86 + -6 8x = 86 + -6 Combine like terms: 86 + -6 = 80 8x = 80 Divide each side by '8'. x = 10 Simplifying x = 10
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