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Simplifying 52x + 1 = 26(5x + -1) Reorder the terms: 1 + 52x = 26(5x + -1) Reorder the terms: 1 + 52x = 26(-1 + 5x) 1 + 52x = (-1 * 26 + 5x * 26) 1 + 52x = (-26 + 130x) Solving 1 + 52x = -26 + 130x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-130x' to each side of the equation. 1 + 52x + -130x = -26 + 130x + -130x Combine like terms: 52x + -130x = -78x 1 + -78x = -26 + 130x + -130x Combine like terms: 130x + -130x = 0 1 + -78x = -26 + 0 1 + -78x = -26 Add '-1' to each side of the equation. 1 + -1 + -78x = -26 + -1 Combine like terms: 1 + -1 = 0 0 + -78x = -26 + -1 -78x = -26 + -1 Combine like terms: -26 + -1 = -27 -78x = -27 Divide each side by '-78'. x = 0.3461538462 Simplifying x = 0.3461538462
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