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Simplifying 2(4x + 1) = 8 + -3(x + -5) Reorder the terms: 2(1 + 4x) = 8 + -3(x + -5) (1 * 2 + 4x * 2) = 8 + -3(x + -5) (2 + 8x) = 8 + -3(x + -5) Reorder the terms: 2 + 8x = 8 + -3(-5 + x) 2 + 8x = 8 + (-5 * -3 + x * -3) 2 + 8x = 8 + (15 + -3x) Combine like terms: 8 + 15 = 23 2 + 8x = 23 + -3x Solving 2 + 8x = 23 + -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 = 23 + -3x + 3x Combine like terms: 8x + 3x = 11x 2 + 11x = 23 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 11x = 23 + 0 2 + 11x = 23 Add '-2' to each side of the equation. 2 + -2 + 11x = 23 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = 23 + -2 11x = 23 + -2 Combine like terms: 23 + -2 = 21 11x = 21 Divide each side by '11'. x = 1.909090909 Simplifying x = 1.909090909
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