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Simplifying 2(4x + 1) = 2x + -7x Reorder the terms: 2(1 + 4x) = 2x + -7x (1 * 2 + 4x * 2) = 2x + -7x (2 + 8x) = 2x + -7x Combine like terms: 2x + -7x = -5x 2 + 8x = -5x Solving 2 + 8x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + 8x + 5x = -5x + 5x Combine like terms: 8x + 5x = 13x 2 + 13x = -5x + 5x Combine like terms: -5x + 5x = 0 2 + 13x = 0 Add '-2' to each side of the equation. 2 + -2 + 13x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 0 + -2 13x = 0 + -2 Combine like terms: 0 + -2 = -2 13x = -2 Divide each side by '13'. x = -0.1538461538 Simplifying x = -0.1538461538
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