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Simplifying 2 + 7(7x + -6) = 2 + -7(7x + -2) Reorder the terms: 2 + 7(-6 + 7x) = 2 + -7(7x + -2) 2 + (-6 * 7 + 7x * 7) = 2 + -7(7x + -2) 2 + (-42 + 49x) = 2 + -7(7x + -2) Combine like terms: 2 + -42 = -40 -40 + 49x = 2 + -7(7x + -2) Reorder the terms: -40 + 49x = 2 + -7(-2 + 7x) -40 + 49x = 2 + (-2 * -7 + 7x * -7) -40 + 49x = 2 + (14 + -49x) Combine like terms: 2 + 14 = 16 -40 + 49x = 16 + -49x Solving -40 + 49x = 16 + -49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49x' to each side of the equation. -40 + 49x + 49x = 16 + -49x + 49x Combine like terms: 49x + 49x = 98x -40 + 98x = 16 + -49x + 49x Combine like terms: -49x + 49x = 0 -40 + 98x = 16 + 0 -40 + 98x = 16 Add '40' to each side of the equation. -40 + 40 + 98x = 16 + 40 Combine like terms: -40 + 40 = 0 0 + 98x = 16 + 40 98x = 16 + 40 Combine like terms: 16 + 40 = 56 98x = 56 Divide each side by '98'. x = 0.5714285714 Simplifying x = 0.5714285714
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