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Simplifying 3(x + 2) + -6(x + -1) = 2 + -5(x + -3) Reorder the terms: 3(2 + x) + -6(x + -1) = 2 + -5(x + -3) (2 * 3 + x * 3) + -6(x + -1) = 2 + -5(x + -3) (6 + 3x) + -6(x + -1) = 2 + -5(x + -3) Reorder the terms: 6 + 3x + -6(-1 + x) = 2 + -5(x + -3) 6 + 3x + (-1 * -6 + x * -6) = 2 + -5(x + -3) 6 + 3x + (6 + -6x) = 2 + -5(x + -3) Reorder the terms: 6 + 6 + 3x + -6x = 2 + -5(x + -3) Combine like terms: 6 + 6 = 12 12 + 3x + -6x = 2 + -5(x + -3) Combine like terms: 3x + -6x = -3x 12 + -3x = 2 + -5(x + -3) Reorder the terms: 12 + -3x = 2 + -5(-3 + x) 12 + -3x = 2 + (-3 * -5 + x * -5) 12 + -3x = 2 + (15 + -5x) Combine like terms: 2 + 15 = 17 12 + -3x = 17 + -5x Solving 12 + -3x = 17 + -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. 12 + -3x + 5x = 17 + -5x + 5x Combine like terms: -3x + 5x = 2x 12 + 2x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 2x = 17 + 0 12 + 2x = 17 Add '-12' to each side of the equation. 12 + -12 + 2x = 17 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 17 + -12 2x = 17 + -12 Combine like terms: 17 + -12 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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