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Simplifying 7(1 + 8x) + -7x = 7 + 4x (1 * 7 + 8x * 7) + -7x = 7 + 4x (7 + 56x) + -7x = 7 + 4x Combine like terms: 56x + -7x = 49x 7 + 49x = 7 + 4x Add '-7' to each side of the equation. 7 + -7 + 49x = 7 + -7 + 4x Combine like terms: 7 + -7 = 0 0 + 49x = 7 + -7 + 4x 49x = 7 + -7 + 4x Combine like terms: 7 + -7 = 0 49x = 0 + 4x 49x = 4x Solving 49x = 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. 49x + -4x = 4x + -4x Combine like terms: 49x + -4x = 45x 45x = 4x + -4x Combine like terms: 4x + -4x = 0 45x = 0 Divide each side by '45'. x = 0 Simplifying x = 0
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