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Simplifying 3[x + -1] = 12 + -2x Reorder the terms: 3[-1 + x] = 12 + -2x [-1 * 3 + x * 3] = 12 + -2x [-3 + 3x] = 12 + -2x Solving -3 + 3x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3 + 3x + 2x = 12 + -2x + 2x Combine like terms: 3x + 2x = 5x -3 + 5x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 5x = 12 + 0 -3 + 5x = 12 Add '3' to each side of the equation. -3 + 3 + 5x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 12 + 3 5x = 12 + 3 Combine like terms: 12 + 3 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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