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Simplifying 8 + -1(X + -2) + 4(X + -3) = 7(X + -2) Reorder the terms: 8 + -1(-2 + X) + 4(X + -3) = 7(X + -2) 8 + (-2 * -1 + X * -1) + 4(X + -3) = 7(X + -2) 8 + (2 + -1X) + 4(X + -3) = 7(X + -2) Reorder the terms: 8 + 2 + -1X + 4(-3 + X) = 7(X + -2) 8 + 2 + -1X + (-3 * 4 + X * 4) = 7(X + -2) 8 + 2 + -1X + (-12 + 4X) = 7(X + -2) Reorder the terms: 8 + 2 + -12 + -1X + 4X = 7(X + -2) Combine like terms: 8 + 2 = 10 10 + -12 + -1X + 4X = 7(X + -2) Combine like terms: 10 + -12 = -2 -2 + -1X + 4X = 7(X + -2) Combine like terms: -1X + 4X = 3X -2 + 3X = 7(X + -2) Reorder the terms: -2 + 3X = 7(-2 + X) -2 + 3X = (-2 * 7 + X * 7) -2 + 3X = (-14 + 7X) Solving -2 + 3X = -14 + 7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7X' to each side of the equation. -2 + 3X + -7X = -14 + 7X + -7X Combine like terms: 3X + -7X = -4X -2 + -4X = -14 + 7X + -7X Combine like terms: 7X + -7X = 0 -2 + -4X = -14 + 0 -2 + -4X = -14 Add '2' to each side of the equation. -2 + 2 + -4X = -14 + 2 Combine like terms: -2 + 2 = 0 0 + -4X = -14 + 2 -4X = -14 + 2 Combine like terms: -14 + 2 = -12 -4X = -12 Divide each side by '-4'. X = 3 Simplifying X = 3
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