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Simplifying 6x + 7(1 + 5x) = 7 + -1x 6x + (1 * 7 + 5x * 7) = 7 + -1x 6x + (7 + 35x) = 7 + -1x Reorder the terms: 7 + 6x + 35x = 7 + -1x Combine like terms: 6x + 35x = 41x 7 + 41x = 7 + -1x Add '-7' to each side of the equation. 7 + -7 + 41x = 7 + -7 + -1x Combine like terms: 7 + -7 = 0 0 + 41x = 7 + -7 + -1x 41x = 7 + -7 + -1x Combine like terms: 7 + -7 = 0 41x = 0 + -1x 41x = -1x Solving 41x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 41x + x = -1x + x Combine like terms: 41x + x = 42x 42x = -1x + x Combine like terms: -1x + x = 0 42x = 0 Divide each side by '42'. x = 0 Simplifying x = 0
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