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Simplifying -2(x + 3) = -3(x + -8) Reorder the terms: -2(3 + x) = -3(x + -8) (3 * -2 + x * -2) = -3(x + -8) (-6 + -2x) = -3(x + -8) Reorder the terms: -6 + -2x = -3(-8 + x) -6 + -2x = (-8 * -3 + x * -3) -6 + -2x = (24 + -3x) Solving -6 + -2x = 24 + -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. -6 + -2x + 3x = 24 + -3x + 3x Combine like terms: -2x + 3x = 1x -6 + 1x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 1x = 24 + 0 -6 + 1x = 24 Add '6' to each side of the equation. -6 + 6 + 1x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 24 + 6 1x = 24 + 6 Combine like terms: 24 + 6 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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