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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 = 9 -6 + 2x = 9 + -3x Solving -6 + 2x = 9 + -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 = 9 + -3x + 3x Combine like terms: 2x + 3x = 5x -6 + 5x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 5x = 9 + 0 -6 + 5x = 9 Add '6' to each side of the equation. -6 + 6 + 5x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 9 + 6 5x = 9 + 6 Combine like terms: 9 + 6 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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