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Simplifying -2(4x + 1) + 5(X + 2) = 7 Reorder the terms: -2(1 + 4x) + 5(X + 2) = 7 (1 * -2 + 4x * -2) + 5(X + 2) = 7 (-2 + -8x) + 5(X + 2) = 7 Reorder the terms: -2 + -8x + 5(2 + X) = 7 -2 + -8x + (2 * 5 + X * 5) = 7 -2 + -8x + (10 + 5X) = 7 Reorder the terms: -2 + 10 + 5X + -8x = 7 Combine like terms: -2 + 10 = 8 8 + 5X + -8x = 7 Solving 8 + 5X + -8x = 7 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 5X + -8 + -8x = 7 + -8 Reorder the terms: 8 + -8 + 5X + -8x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 5X + -8x = 7 + -8 5X + -8x = 7 + -8 Combine like terms: 7 + -8 = -1 5X + -8x = -1 Add '8x' to each side of the equation. 5X + -8x + 8x = -1 + 8x Combine like terms: -8x + 8x = 0 5X + 0 = -1 + 8x 5X = -1 + 8x Divide each side by '5'. X = -0.2 + 1.6x Simplifying X = -0.2 + 1.6x
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