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Simplifying -7(-7x + 7) + 2 = 2(2 + -1x) Reorder the terms: -7(7 + -7x) + 2 = 2(2 + -1x) (7 * -7 + -7x * -7) + 2 = 2(2 + -1x) (-49 + 49x) + 2 = 2(2 + -1x) Reorder the terms: -49 + 2 + 49x = 2(2 + -1x) Combine like terms: -49 + 2 = -47 -47 + 49x = 2(2 + -1x) -47 + 49x = (2 * 2 + -1x * 2) -47 + 49x = (4 + -2x) Solving -47 + 49x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -47 + 49x + 2x = 4 + -2x + 2x Combine like terms: 49x + 2x = 51x -47 + 51x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 -47 + 51x = 4 + 0 -47 + 51x = 4 Add '47' to each side of the equation. -47 + 47 + 51x = 4 + 47 Combine like terms: -47 + 47 = 0 0 + 51x = 4 + 47 51x = 4 + 47 Combine like terms: 4 + 47 = 51 51x = 51 Divide each side by '51'. x = 1 Simplifying x = 1
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