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Simplifying (7x + 1) * 2 = (18x + 4) * 2 Reorder the terms: (1 + 7x) * 2 = (18x + 4) * 2 Reorder the terms for easier multiplication: 2(1 + 7x) = (18x + 4) * 2 (1 * 2 + 7x * 2) = (18x + 4) * 2 (2 + 14x) = (18x + 4) * 2 Reorder the terms: 2 + 14x = (4 + 18x) * 2 Reorder the terms for easier multiplication: 2 + 14x = 2(4 + 18x) 2 + 14x = (4 * 2 + 18x * 2) 2 + 14x = (8 + 36x) Solving 2 + 14x = 8 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 2 + 14x + -36x = 8 + 36x + -36x Combine like terms: 14x + -36x = -22x 2 + -22x = 8 + 36x + -36x Combine like terms: 36x + -36x = 0 2 + -22x = 8 + 0 2 + -22x = 8 Add '-2' to each side of the equation. 2 + -2 + -22x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -22x = 8 + -2 -22x = 8 + -2 Combine like terms: 8 + -2 = 6 -22x = 6 Divide each side by '-22'. x = -0.2727272727 Simplifying x = -0.2727272727
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