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Simplifying 7(7x + 1) + -14 = x + -1(x + 6) Reorder the terms: 7(1 + 7x) + -14 = x + -1(x + 6) (1 * 7 + 7x * 7) + -14 = x + -1(x + 6) (7 + 49x) + -14 = x + -1(x + 6) Reorder the terms: 7 + -14 + 49x = x + -1(x + 6) Combine like terms: 7 + -14 = -7 -7 + 49x = x + -1(x + 6) Reorder the terms: -7 + 49x = x + -1(6 + x) -7 + 49x = x + (6 * -1 + x * -1) -7 + 49x = x + (-6 + -1x) Reorder the terms: -7 + 49x = -6 + x + -1x Combine like terms: x + -1x = 0 -7 + 49x = -6 + 0 -7 + 49x = -6 Solving -7 + 49x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 49x = -6 + 7 Combine like terms: -7 + 7 = 0 0 + 49x = -6 + 7 49x = -6 + 7 Combine like terms: -6 + 7 = 1 49x = 1 Divide each side by '49'. x = 0.02040816327 Simplifying x = 0.02040816327
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