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Simplifying -3(x + 1) + 2x = -6x + 12 Reorder the terms: -3(1 + x) + 2x = -6x + 12 (1 * -3 + x * -3) + 2x = -6x + 12 (-3 + -3x) + 2x = -6x + 12 Combine like terms: -3x + 2x = -1x -3 + -1x = -6x + 12 Reorder the terms: -3 + -1x = 12 + -6x Solving -3 + -1x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -3 + -1x + 6x = 12 + -6x + 6x Combine like terms: -1x + 6x = 5x -3 + 5x = 12 + -6x + 6x Combine like terms: -6x + 6x = 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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