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Simplifying 6x + 5(X + -4) + -1(7X + 1) = 3 Reorder the terms: 6x + 5(-4 + X) + -1(7X + 1) = 3 6x + (-4 * 5 + X * 5) + -1(7X + 1) = 3 6x + (-20 + 5X) + -1(7X + 1) = 3 Reorder the terms: 6x + -20 + 5X + -1(1 + 7X) = 3 6x + -20 + 5X + (1 * -1 + 7X * -1) = 3 6x + -20 + 5X + (-1 + -7X) = 3 Reorder the terms: -20 + -1 + 5X + -7X + 6x = 3 Combine like terms: -20 + -1 = -21 -21 + 5X + -7X + 6x = 3 Combine like terms: 5X + -7X = -2X -21 + -2X + 6x = 3 Solving -21 + -2X + 6x = 3 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '21' to each side of the equation. -21 + -2X + 21 + 6x = 3 + 21 Reorder the terms: -21 + 21 + -2X + 6x = 3 + 21 Combine like terms: -21 + 21 = 0 0 + -2X + 6x = 3 + 21 -2X + 6x = 3 + 21 Combine like terms: 3 + 21 = 24 -2X + 6x = 24 Add '-6x' to each side of the equation. -2X + 6x + -6x = 24 + -6x Combine like terms: 6x + -6x = 0 -2X + 0 = 24 + -6x -2X = 24 + -6x Divide each side by '-2'. X = -12 + 3x Simplifying X = -12 + 3x
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