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Simplifying -3(x + 8) = 2(x + 3) Reorder the terms: -3(8 + x) = 2(x + 3) (8 * -3 + x * -3) = 2(x + 3) (-24 + -3x) = 2(x + 3) Reorder the terms: -24 + -3x = 2(3 + x) -24 + -3x = (3 * 2 + x * 2) -24 + -3x = (6 + 2x) Solving -24 + -3x = 6 + 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. -24 + -3x + -2x = 6 + 2x + -2x Combine like terms: -3x + -2x = -5x -24 + -5x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + -5x = 6 + 0 -24 + -5x = 6 Add '24' to each side of the equation. -24 + 24 + -5x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + -5x = 6 + 24 -5x = 6 + 24 Combine like terms: 6 + 24 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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