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Simplifying 7(1 + 5x) + -6x = 7 + x (1 * 7 + 5x * 7) + -6x = 7 + x (7 + 35x) + -6x = 7 + x Combine like terms: 35x + -6x = 29x 7 + 29x = 7 + x Add '-7' to each side of the equation. 7 + -7 + 29x = 7 + -7 + x Combine like terms: 7 + -7 = 0 0 + 29x = 7 + -7 + x 29x = 7 + -7 + x Combine like terms: 7 + -7 = 0 29x = 0 + x 29x = x Solving 29x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 29x + -1x = x + -1x Combine like terms: 29x + -1x = 28x 28x = x + -1x Combine like terms: x + -1x = 0 28x = 0 Divide each side by '28'. x = 0 Simplifying x = 0
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