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Simplifying 6x + 5 = -3(2x + 1) Reorder the terms: 5 + 6x = -3(2x + 1) Reorder the terms: 5 + 6x = -3(1 + 2x) 5 + 6x = (1 * -3 + 2x * -3) 5 + 6x = (-3 + -6x) Solving 5 + 6x = -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. 5 + 6x + 6x = -3 + -6x + 6x Combine like terms: 6x + 6x = 12x 5 + 12x = -3 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 12x = -3 + 0 5 + 12x = -3 Add '-5' to each side of the equation. 5 + -5 + 12x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = -3 + -5 12x = -3 + -5 Combine like terms: -3 + -5 = -8 12x = -8 Divide each side by '12'. x = -0.6666666667 Simplifying x = -0.6666666667
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