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Simplifying 7x + -2 = 3(1 + -2x) Reorder the terms: -2 + 7x = 3(1 + -2x) -2 + 7x = (1 * 3 + -2x * 3) -2 + 7x = (3 + -6x) Solving -2 + 7x = 3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -2 + 7x + 6x = 3 + -6x + 6x Combine like terms: 7x + 6x = 13x -2 + 13x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 13x = 3 + 0 -2 + 13x = 3 Add '2' to each side of the equation. -2 + 2 + 13x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 13x = 3 + 2 13x = 3 + 2 Combine like terms: 3 + 2 = 5 13x = 5 Divide each side by '13'. x = 0.3846153846 Simplifying x = 0.3846153846
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