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Simplifying 3(x + -2) = -2(x + 8) Reorder the terms: 3(-2 + x) = -2(x + 8) (-2 * 3 + x * 3) = -2(x + 8) (-6 + 3x) = -2(x + 8) Reorder the terms: -6 + 3x = -2(8 + x) -6 + 3x = (8 * -2 + x * -2) -6 + 3x = (-16 + -2x) Solving -6 + 3x = -16 + -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. -6 + 3x + 2x = -16 + -2x + 2x Combine like terms: 3x + 2x = 5x -6 + 5x = -16 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 5x = -16 + 0 -6 + 5x = -16 Add '6' to each side of the equation. -6 + 6 + 5x = -16 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = -16 + 6 5x = -16 + 6 Combine like terms: -16 + 6 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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