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Simplifying 2 + -3(x + 2) = 5(x + -6) Reorder the terms: 2 + -3(2 + x) = 5(x + -6) 2 + (2 * -3 + x * -3) = 5(x + -6) 2 + (-6 + -3x) = 5(x + -6) Combine like terms: 2 + -6 = -4 -4 + -3x = 5(x + -6) Reorder the terms: -4 + -3x = 5(-6 + x) -4 + -3x = (-6 * 5 + x * 5) -4 + -3x = (-30 + 5x) Solving -4 + -3x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + -3x + -5x = -30 + 5x + -5x Combine like terms: -3x + -5x = -8x -4 + -8x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -8x = -30 + 0 -4 + -8x = -30 Add '4' to each side of the equation. -4 + 4 + -8x = -30 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = -30 + 4 -8x = -30 + 4 Combine like terms: -30 + 4 = -26 -8x = -26 Divide each side by '-8'. x = 3.25 Simplifying x = 3.25
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