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Simplifying (7X + -1) * 3 = 8(2X + 4) Reorder the terms: (-1 + 7X) * 3 = 8(2X + 4) Reorder the terms for easier multiplication: 3(-1 + 7X) = 8(2X + 4) (-1 * 3 + 7X * 3) = 8(2X + 4) (-3 + 21X) = 8(2X + 4) Reorder the terms: -3 + 21X = 8(4 + 2X) -3 + 21X = (4 * 8 + 2X * 8) -3 + 21X = (32 + 16X) Solving -3 + 21X = 32 + 16X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-16X' to each side of the equation. -3 + 21X + -16X = 32 + 16X + -16X Combine like terms: 21X + -16X = 5X -3 + 5X = 32 + 16X + -16X Combine like terms: 16X + -16X = 0 -3 + 5X = 32 + 0 -3 + 5X = 32 Add '3' to each side of the equation. -3 + 3 + 5X = 32 + 3 Combine like terms: -3 + 3 = 0 0 + 5X = 32 + 3 5X = 32 + 3 Combine like terms: 32 + 3 = 35 5X = 35 Divide each side by '5'. X = 7 Simplifying X = 7
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