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Simplifying 2 + -1(4X + -17) = 6(X + -2) Reorder the terms: 2 + -1(-17 + 4X) = 6(X + -2) 2 + (-17 * -1 + 4X * -1) = 6(X + -2) 2 + (17 + -4X) = 6(X + -2) Combine like terms: 2 + 17 = 19 19 + -4X = 6(X + -2) Reorder the terms: 19 + -4X = 6(-2 + X) 19 + -4X = (-2 * 6 + X * 6) 19 + -4X = (-12 + 6X) Solving 19 + -4X = -12 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. 19 + -4X + -6X = -12 + 6X + -6X Combine like terms: -4X + -6X = -10X 19 + -10X = -12 + 6X + -6X Combine like terms: 6X + -6X = 0 19 + -10X = -12 + 0 19 + -10X = -12 Add '-19' to each side of the equation. 19 + -19 + -10X = -12 + -19 Combine like terms: 19 + -19 = 0 0 + -10X = -12 + -19 -10X = -12 + -19 Combine like terms: -12 + -19 = -31 -10X = -31 Divide each side by '-10'. X = 3.1 Simplifying X = 3.1
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