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Simplifying 2(4x + 1) = 4x + -7x Reorder the terms: 2(1 + 4x) = 4x + -7x (1 * 2 + 4x * 2) = 4x + -7x (2 + 8x) = 4x + -7x Combine like terms: 4x + -7x = -3x 2 + 8x = -3x Solving 2 + 8x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + 8x + 3x = -3x + 3x Combine like terms: 8x + 3x = 11x 2 + 11x = -3x + 3x Combine like terms: -3x + 3x = 0 2 + 11x = 0 Add '-2' to each side of the equation. 2 + -2 + 11x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = 0 + -2 11x = 0 + -2 Combine like terms: 0 + -2 = -2 11x = -2 Divide each side by '11'. x = -0.1818181818 Simplifying x = -0.1818181818
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