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Simplifying 3(2x + 1) = -2(x + 5) Reorder the terms: 3(1 + 2x) = -2(x + 5) (1 * 3 + 2x * 3) = -2(x + 5) (3 + 6x) = -2(x + 5) Reorder the terms: 3 + 6x = -2(5 + x) 3 + 6x = (5 * -2 + x * -2) 3 + 6x = (-10 + -2x) Solving 3 + 6x = -10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3 + 6x + 2x = -10 + -2x + 2x Combine like terms: 6x + 2x = 8x 3 + 8x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 8x = -10 + 0 3 + 8x = -10 Add '-3' to each side of the equation. 3 + -3 + 8x = -10 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = -10 + -3 8x = -10 + -3 Combine like terms: -10 + -3 = -13 8x = -13 Divide each side by '8'. x = -1.625 Simplifying x = -1.625
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