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Simplifying 3x + -1(x + 2) = 2x + -5x + -12 Reorder the terms: 3x + -1(2 + x) = 2x + -5x + -12 3x + (2 * -1 + x * -1) = 2x + -5x + -12 3x + (-2 + -1x) = 2x + -5x + -12 Reorder the terms: -2 + 3x + -1x = 2x + -5x + -12 Combine like terms: 3x + -1x = 2x -2 + 2x = 2x + -5x + -12 Reorder the terms: -2 + 2x = -12 + 2x + -5x Combine like terms: 2x + -5x = -3x -2 + 2x = -12 + -3x Solving -2 + 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. -2 + 2x + 3x = -12 + -3x + 3x Combine like terms: 2x + 3x = 5x -2 + 5x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 5x = -12 + 0 -2 + 5x = -12 Add '2' to each side of the equation. -2 + 2 + 5x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = -12 + 2 5x = -12 + 2 Combine like terms: -12 + 2 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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