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Simplifying [5X + -2(4X + 3)] + -1(2X + 1) = 1 Reorder the terms: [5X + -2(3 + 4X)] + -1(2X + 1) = 1 [5X + (3 * -2 + 4X * -2)] + -1(2X + 1) = 1 [5X + (-6 + -8X)] + -1(2X + 1) = 1 Reorder the terms: [-6 + 5X + -8X] + -1(2X + 1) = 1 Combine like terms: 5X + -8X = -3X [-6 + -3X] + -1(2X + 1) = 1 Remove brackets around [-6 + -3X] -6 + -3X + -1(2X + 1) = 1 Reorder the terms: -6 + -3X + -1(1 + 2X) = 1 -6 + -3X + (1 * -1 + 2X * -1) = 1 -6 + -3X + (-1 + -2X) = 1 Reorder the terms: -6 + -1 + -3X + -2X = 1 Combine like terms: -6 + -1 = -7 -7 + -3X + -2X = 1 Combine like terms: -3X + -2X = -5X -7 + -5X = 1 Solving -7 + -5X = 1 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5X = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -5X = 1 + 7 -5X = 1 + 7 Combine like terms: 1 + 7 = 8 -5X = 8 Divide each side by '-5'. X = -1.6 Simplifying X = -1.6
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