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Simplifying 2(7X + 4) = 4X + -6(2 + -1Z) + 7 Reorder the terms: 2(4 + 7X) = 4X + -6(2 + -1Z) + 7 (4 * 2 + 7X * 2) = 4X + -6(2 + -1Z) + 7 (8 + 14X) = 4X + -6(2 + -1Z) + 7 8 + 14X = 4X + (2 * -6 + -1Z * -6) + 7 8 + 14X = 4X + (-12 + 6Z) + 7 Reorder the terms: 8 + 14X = -12 + 7 + 4X + 6Z Combine like terms: -12 + 7 = -5 8 + 14X = -5 + 4X + 6Z Solving 8 + 14X = -5 + 4X + 6Z Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4X' to each side of the equation. 8 + 14X + -4X = -5 + 4X + -4X + 6Z Combine like terms: 14X + -4X = 10X 8 + 10X = -5 + 4X + -4X + 6Z Combine like terms: 4X + -4X = 0 8 + 10X = -5 + 0 + 6Z 8 + 10X = -5 + 6Z Add '-8' to each side of the equation. 8 + -8 + 10X = -5 + -8 + 6Z Combine like terms: 8 + -8 = 0 0 + 10X = -5 + -8 + 6Z 10X = -5 + -8 + 6Z Combine like terms: -5 + -8 = -13 10X = -13 + 6Z Divide each side by '10'. X = -1.3 + 0.6Z Simplifying X = -1.3 + 0.6Z
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