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Simplifying 2(x + -3) = 6 + -3(x + -2) Reorder the terms: 2(-3 + x) = 6 + -3(x + -2) (-3 * 2 + x * 2) = 6 + -3(x + -2) (-6 + 2x) = 6 + -3(x + -2) Reorder the terms: -6 + 2x = 6 + -3(-2 + x) -6 + 2x = 6 + (-2 * -3 + x * -3) -6 + 2x = 6 + (6 + -3x) Combine like terms: 6 + 6 = 12 -6 + 2x = 12 + -3x Solving -6 + 2x = 12 + -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 = 12 + -3x + 3x Combine like terms: 2x + 3x = 5x -6 + 5x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 5x = 12 + 0 -6 + 5x = 12 Add '6' to each side of the equation. -6 + 6 + 5x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 12 + 6 5x = 12 + 6 Combine like terms: 12 + 6 = 18 5x = 18 Divide each side by '5'. x = 3.6 Simplifying x = 3.6
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