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Simplifying X + -1(4c + -7) = 6x + -1(X + 21) Reorder the terms: X + -1(-7 + 4c) = 6x + -1(X + 21) X + (-7 * -1 + 4c * -1) = 6x + -1(X + 21) X + (7 + -4c) = 6x + -1(X + 21) Reorder the terms: 7 + X + -4c = 6x + -1(X + 21) Reorder the terms: 7 + X + -4c = 6x + -1(21 + X) 7 + X + -4c = 6x + (21 * -1 + X * -1) 7 + X + -4c = 6x + (-21 + -1X) Reorder the terms: 7 + X + -4c = -21 + -1X + 6x Solving 7 + X + -4c = -21 + -1X + 6x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add 'X' to each side of the equation. 7 + X + X + -4c = -21 + -1X + X + 6x Combine like terms: X + X = 2X 7 + 2X + -4c = -21 + -1X + X + 6x Combine like terms: -1X + X = 0 7 + 2X + -4c = -21 + 0 + 6x 7 + 2X + -4c = -21 + 6x Add '-7' to each side of the equation. 7 + 2X + -7 + -4c = -21 + -7 + 6x Reorder the terms: 7 + -7 + 2X + -4c = -21 + -7 + 6x Combine like terms: 7 + -7 = 0 0 + 2X + -4c = -21 + -7 + 6x 2X + -4c = -21 + -7 + 6x Combine like terms: -21 + -7 = -28 2X + -4c = -28 + 6x Add '4c' to each side of the equation. 2X + -4c + 4c = -28 + 4c + 6x Combine like terms: -4c + 4c = 0 2X + 0 = -28 + 4c + 6x 2X = -28 + 4c + 6x Divide each side by '2'. X = -14 + 2c + 3x Simplifying X = -14 + 2c + 3x
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