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Simplifying 2(4x + -5) = 2x + 1 Reorder the terms: 2(-5 + 4x) = 2x + 1 (-5 * 2 + 4x * 2) = 2x + 1 (-10 + 8x) = 2x + 1 Reorder the terms: -10 + 8x = 1 + 2x Solving -10 + 8x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + 8x + -2x = 1 + 2x + -2x Combine like terms: 8x + -2x = 6x -10 + 6x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 6x = 1 + 0 -10 + 6x = 1 Add '10' to each side of the equation. -10 + 10 + 6x = 1 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 1 + 10 6x = 1 + 10 Combine like terms: 1 + 10 = 11 6x = 11 Divide each side by '6'. x = 1.833333333 Simplifying x = 1.833333333
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