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Simplifying 2(4x + 1) = 5x + -6x Reorder the terms: 2(1 + 4x) = 5x + -6x (1 * 2 + 4x * 2) = 5x + -6x (2 + 8x) = 5x + -6x Combine like terms: 5x + -6x = -1x 2 + 8x = -1x Solving 2 + 8x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + 8x + x = -1x + x Combine like terms: 8x + x = 9x 2 + 9x = -1x + x Combine like terms: -1x + x = 0 2 + 9x = 0 Add '-2' to each side of the equation. 2 + -2 + 9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 0 + -2 9x = 0 + -2 Combine like terms: 0 + -2 = -2 9x = -2 Divide each side by '9'. x = -0.2222222222 Simplifying x = -0.2222222222
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