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Simplifying 5x + -2(x + 42x + 1) = 3(2x + 1) Reorder the terms: 5x + -2(1 + x + 42x) = 3(2x + 1) Combine like terms: x + 42x = 43x 5x + -2(1 + 43x) = 3(2x + 1) 5x + (1 * -2 + 43x * -2) = 3(2x + 1) 5x + (-2 + -86x) = 3(2x + 1) Reorder the terms: -2 + 5x + -86x = 3(2x + 1) Combine like terms: 5x + -86x = -81x -2 + -81x = 3(2x + 1) Reorder the terms: -2 + -81x = 3(1 + 2x) -2 + -81x = (1 * 3 + 2x * 3) -2 + -81x = (3 + 6x) Solving -2 + -81x = 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 + -81x + -6x = 3 + 6x + -6x Combine like terms: -81x + -6x = -87x -2 + -87x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -87x = 3 + 0 -2 + -87x = 3 Add '2' to each side of the equation. -2 + 2 + -87x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -87x = 3 + 2 -87x = 3 + 2 Combine like terms: 3 + 2 = 5 -87x = 5 Divide each side by '-87'. x = -0.05747126437 Simplifying x = -0.05747126437
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