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Simplifying 8(x + 3) = -3(x + -2) Reorder the terms: 8(3 + x) = -3(x + -2) (3 * 8 + x * 8) = -3(x + -2) (24 + 8x) = -3(x + -2) Reorder the terms: 24 + 8x = -3(-2 + x) 24 + 8x = (-2 * -3 + x * -3) 24 + 8x = (6 + -3x) Solving 24 + 8x = 6 + -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. 24 + 8x + 3x = 6 + -3x + 3x Combine like terms: 8x + 3x = 11x 24 + 11x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + 11x = 6 + 0 24 + 11x = 6 Add '-24' to each side of the equation. 24 + -24 + 11x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 11x = 6 + -24 11x = 6 + -24 Combine like terms: 6 + -24 = -18 11x = -18 Divide each side by '11'. x = -1.636363636 Simplifying x = -1.636363636
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