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Simplifying 4(X + 7) + -2 = 7(X + 5) + -21 Reorder the terms: 4(7 + X) + -2 = 7(X + 5) + -21 (7 * 4 + X * 4) + -2 = 7(X + 5) + -21 (28 + 4X) + -2 = 7(X + 5) + -21 Reorder the terms: 28 + -2 + 4X = 7(X + 5) + -21 Combine like terms: 28 + -2 = 26 26 + 4X = 7(X + 5) + -21 Reorder the terms: 26 + 4X = 7(5 + X) + -21 26 + 4X = (5 * 7 + X * 7) + -21 26 + 4X = (35 + 7X) + -21 Reorder the terms: 26 + 4X = 35 + -21 + 7X Combine like terms: 35 + -21 = 14 26 + 4X = 14 + 7X Solving 26 + 4X = 14 + 7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7X' to each side of the equation. 26 + 4X + -7X = 14 + 7X + -7X Combine like terms: 4X + -7X = -3X 26 + -3X = 14 + 7X + -7X Combine like terms: 7X + -7X = 0 26 + -3X = 14 + 0 26 + -3X = 14 Add '-26' to each side of the equation. 26 + -26 + -3X = 14 + -26 Combine like terms: 26 + -26 = 0 0 + -3X = 14 + -26 -3X = 14 + -26 Combine like terms: 14 + -26 = -12 -3X = -12 Divide each side by '-3'. X = 4 Simplifying X = 4
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