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Simplifying 2(x + -3) = -3(x + 5) + -6 Reorder the terms: 2(-3 + x) = -3(x + 5) + -6 (-3 * 2 + x * 2) = -3(x + 5) + -6 (-6 + 2x) = -3(x + 5) + -6 Reorder the terms: -6 + 2x = -3(5 + x) + -6 -6 + 2x = (5 * -3 + x * -3) + -6 -6 + 2x = (-15 + -3x) + -6 Reorder the terms: -6 + 2x = -15 + -6 + -3x Combine like terms: -15 + -6 = -21 -6 + 2x = -21 + -3x Solving -6 + 2x = -21 + -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 = -21 + -3x + 3x Combine like terms: 2x + 3x = 5x -6 + 5x = -21 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 5x = -21 + 0 -6 + 5x = -21 Add '6' to each side of the equation. -6 + 6 + 5x = -21 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = -21 + 6 5x = -21 + 6 Combine like terms: -21 + 6 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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