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Simplifying 5X + -1 = 2(2X + 4) + -7 Reorder the terms: -1 + 5X = 2(2X + 4) + -7 Reorder the terms: -1 + 5X = 2(4 + 2X) + -7 -1 + 5X = (4 * 2 + 2X * 2) + -7 -1 + 5X = (8 + 4X) + -7 Reorder the terms: -1 + 5X = 8 + -7 + 4X Combine like terms: 8 + -7 = 1 -1 + 5X = 1 + 4X Solving -1 + 5X = 1 + 4X 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. -1 + 5X + -4X = 1 + 4X + -4X Combine like terms: 5X + -4X = 1X -1 + 1X = 1 + 4X + -4X Combine like terms: 4X + -4X = 0 -1 + 1X = 1 + 0 -1 + 1X = 1 Add '1' to each side of the equation. -1 + 1 + 1X = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 1X = 1 + 1 1X = 1 + 1 Combine like terms: 1 + 1 = 2 1X = 2 Divide each side by '1'. X = 2 Simplifying X = 2
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