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Simplifying 7(1 + x) + 4x = 4x (1 * 7 + x * 7) + 4x = 4x (7 + 7x) + 4x = 4x Combine like terms: 7x + 4x = 11x 7 + 11x = 4x Solving 7 + 11x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + 11x + -4x = 4x + -4x Combine like terms: 11x + -4x = 7x 7 + 7x = 4x + -4x Combine like terms: 4x + -4x = 0 7 + 7x = 0 Add '-7' to each side of the equation. 7 + -7 + 7x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 0 + -7 7x = 0 + -7 Combine like terms: 0 + -7 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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