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Simplifying 7(x + 1 + y) = 14x Reorder the terms: 7(1 + x + y) = 14x (1 * 7 + x * 7 + y * 7) = 14x (7 + 7x + 7y) = 14x Solving 7 + 7x + 7y = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 7 + 7x + -14x + 7y = 14x + -14x Combine like terms: 7x + -14x = -7x 7 + -7x + 7y = 14x + -14x Combine like terms: 14x + -14x = 0 7 + -7x + 7y = 0 Add '-7' to each side of the equation. 7 + -7x + -7 + 7y = 0 + -7 Reorder the terms: 7 + -7 + -7x + 7y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -7x + 7y = 0 + -7 -7x + 7y = 0 + -7 Combine like terms: 0 + -7 = -7 -7x + 7y = -7 Add '-7y' to each side of the equation. -7x + 7y + -7y = -7 + -7y Combine like terms: 7y + -7y = 0 -7x + 0 = -7 + -7y -7x = -7 + -7y Divide each side by '-7'. x = 1 + y Simplifying x = 1 + y
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