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Simplifying 7(1 + -3X) + X = 6 + -1(X + -4) (1 * 7 + -3X * 7) + X = 6 + -1(X + -4) (7 + -21X) + X = 6 + -1(X + -4) Combine like terms: -21X + X = -20X 7 + -20X = 6 + -1(X + -4) Reorder the terms: 7 + -20X = 6 + -1(-4 + X) 7 + -20X = 6 + (-4 * -1 + X * -1) 7 + -20X = 6 + (4 + -1X) Combine like terms: 6 + 4 = 10 7 + -20X = 10 + -1X Solving 7 + -20X = 10 + -1X 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 + -20X + X = 10 + -1X + X Combine like terms: -20X + X = -19X 7 + -19X = 10 + -1X + X Combine like terms: -1X + X = 0 7 + -19X = 10 + 0 7 + -19X = 10 Add '-7' to each side of the equation. 7 + -7 + -19X = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -19X = 10 + -7 -19X = 10 + -7 Combine like terms: 10 + -7 = 3 -19X = 3 Divide each side by '-19'. X = -0.1578947368 Simplifying X = -0.1578947368
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