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Simplifying 7(3x + -1) = 2(52x + 1) Reorder the terms: 7(-1 + 3x) = 2(52x + 1) (-1 * 7 + 3x * 7) = 2(52x + 1) (-7 + 21x) = 2(52x + 1) Reorder the terms: -7 + 21x = 2(1 + 52x) -7 + 21x = (1 * 2 + 52x * 2) -7 + 21x = (2 + 104x) Solving -7 + 21x = 2 + 104x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-104x' to each side of the equation. -7 + 21x + -104x = 2 + 104x + -104x Combine like terms: 21x + -104x = -83x -7 + -83x = 2 + 104x + -104x Combine like terms: 104x + -104x = 0 -7 + -83x = 2 + 0 -7 + -83x = 2 Add '7' to each side of the equation. -7 + 7 + -83x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -83x = 2 + 7 -83x = 2 + 7 Combine like terms: 2 + 7 = 9 -83x = 9 Divide each side by '-83'. x = -0.1084337349 Simplifying x = -0.1084337349
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