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Simplifying 7(X + 8) = 4[X + -1(5 + -1X)] Reorder the terms: 7(8 + X) = 4[X + -1(5 + -1X)] (8 * 7 + X * 7) = 4[X + -1(5 + -1X)] (56 + 7X) = 4[X + -1(5 + -1X)] 56 + 7X = 4[X + (5 * -1 + -1X * -1)] 56 + 7X = 4[X + (-5 + 1X)] Reorder the terms: 56 + 7X = 4[-5 + X + 1X] Combine like terms: X + 1X = 2X 56 + 7X = 4[-5 + 2X] 56 + 7X = [-5 * 4 + 2X * 4] 56 + 7X = [-20 + 8X] Solving 56 + 7X = -20 + 8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8X' to each side of the equation. 56 + 7X + -8X = -20 + 8X + -8X Combine like terms: 7X + -8X = -1X 56 + -1X = -20 + 8X + -8X Combine like terms: 8X + -8X = 0 56 + -1X = -20 + 0 56 + -1X = -20 Add '-56' to each side of the equation. 56 + -56 + -1X = -20 + -56 Combine like terms: 56 + -56 = 0 0 + -1X = -20 + -56 -1X = -20 + -56 Combine like terms: -20 + -56 = -76 -1X = -76 Divide each side by '-1'. X = 76 Simplifying X = 76
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