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Simplifying 12(x) + 14(492 + -1x) = 13(492) 12x + (492 * 14 + -1x * 14) = 13(492) 12x + (6888 + -14x) = 13(492) Reorder the terms: 6888 + 12x + -14x = 13(492) Combine like terms: 12x + -14x = -2x 6888 + -2x = 13(492) Multiply 13 * 492 6888 + -2x = 6396 Solving 6888 + -2x = 6396 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6888' to each side of the equation. 6888 + -6888 + -2x = 6396 + -6888 Combine like terms: 6888 + -6888 = 0 0 + -2x = 6396 + -6888 -2x = 6396 + -6888 Combine like terms: 6396 + -6888 = -492 -2x = -492 Divide each side by '-2'. x = 246 Simplifying x = 246
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