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Simplifying 493(3X + -3) + 3(2X + 2) = 2X + 50 Reorder the terms: 493(-3 + 3X) + 3(2X + 2) = 2X + 50 (-3 * 493 + 3X * 493) + 3(2X + 2) = 2X + 50 (-1479 + 1479X) + 3(2X + 2) = 2X + 50 Reorder the terms: -1479 + 1479X + 3(2 + 2X) = 2X + 50 -1479 + 1479X + (2 * 3 + 2X * 3) = 2X + 50 -1479 + 1479X + (6 + 6X) = 2X + 50 Reorder the terms: -1479 + 6 + 1479X + 6X = 2X + 50 Combine like terms: -1479 + 6 = -1473 -1473 + 1479X + 6X = 2X + 50 Combine like terms: 1479X + 6X = 1485X -1473 + 1485X = 2X + 50 Reorder the terms: -1473 + 1485X = 50 + 2X Solving -1473 + 1485X = 50 + 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. -1473 + 1485X + -2X = 50 + 2X + -2X Combine like terms: 1485X + -2X = 1483X -1473 + 1483X = 50 + 2X + -2X Combine like terms: 2X + -2X = 0 -1473 + 1483X = 50 + 0 -1473 + 1483X = 50 Add '1473' to each side of the equation. -1473 + 1473 + 1483X = 50 + 1473 Combine like terms: -1473 + 1473 = 0 0 + 1483X = 50 + 1473 1483X = 50 + 1473 Combine like terms: 50 + 1473 = 1523 1483X = 1523 Divide each side by '1483'. X = 1.026972353 Simplifying X = 1.026972353
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