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Simplifying 7(4 + 2x) + 5(5 + -1X) = 26 (4 * 7 + 2x * 7) + 5(5 + -1X) = 26 (28 + 14x) + 5(5 + -1X) = 26 28 + 14x + (5 * 5 + -1X * 5) = 26 28 + 14x + (25 + -5X) = 26 Reorder the terms: 28 + 25 + -5X + 14x = 26 Combine like terms: 28 + 25 = 53 53 + -5X + 14x = 26 Solving 53 + -5X + 14x = 26 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -5X + -53 + 14x = 26 + -53 Reorder the terms: 53 + -53 + -5X + 14x = 26 + -53 Combine like terms: 53 + -53 = 0 0 + -5X + 14x = 26 + -53 -5X + 14x = 26 + -53 Combine like terms: 26 + -53 = -27 -5X + 14x = -27 Add '-14x' to each side of the equation. -5X + 14x + -14x = -27 + -14x Combine like terms: 14x + -14x = 0 -5X + 0 = -27 + -14x -5X = -27 + -14x Divide each side by '-5'. X = 5.4 + 2.8x Simplifying X = 5.4 + 2.8x
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