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Simplifying 8 + -3(2x + 1) = 5(x + 2) Reorder the terms: 8 + -3(1 + 2x) = 5(x + 2) 8 + (1 * -3 + 2x * -3) = 5(x + 2) 8 + (-3 + -6x) = 5(x + 2) Combine like terms: 8 + -3 = 5 5 + -6x = 5(x + 2) Reorder the terms: 5 + -6x = 5(2 + x) 5 + -6x = (2 * 5 + x * 5) 5 + -6x = (10 + 5x) Solving 5 + -6x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + -6x + -5x = 10 + 5x + -5x Combine like terms: -6x + -5x = -11x 5 + -11x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -11x = 10 + 0 5 + -11x = 10 Add '-5' to each side of the equation. 5 + -5 + -11x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + -11x = 10 + -5 -11x = 10 + -5 Combine like terms: 10 + -5 = 5 -11x = 5 Divide each side by '-11'. x = -0.4545454545 Simplifying x = -0.4545454545
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