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Simplifying 3x + -2(5x + 1) = 4(x + -5) Reorder the terms: 3x + -2(1 + 5x) = 4(x + -5) 3x + (1 * -2 + 5x * -2) = 4(x + -5) 3x + (-2 + -10x) = 4(x + -5) Reorder the terms: -2 + 3x + -10x = 4(x + -5) Combine like terms: 3x + -10x = -7x -2 + -7x = 4(x + -5) Reorder the terms: -2 + -7x = 4(-5 + x) -2 + -7x = (-5 * 4 + x * 4) -2 + -7x = (-20 + 4x) Solving -2 + -7x = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + -7x + -4x = -20 + 4x + -4x Combine like terms: -7x + -4x = -11x -2 + -11x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -11x = -20 + 0 -2 + -11x = -20 Add '2' to each side of the equation. -2 + 2 + -11x = -20 + 2 Combine like terms: -2 + 2 = 0 0 + -11x = -20 + 2 -11x = -20 + 2 Combine like terms: -20 + 2 = -18 -11x = -18 Divide each side by '-11'. x = 1.636363636 Simplifying x = 1.636363636
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