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Simplifying 3x + -12 + 2x = 2(2x + 1) + -6x Reorder the terms: -12 + 3x + 2x = 2(2x + 1) + -6x Combine like terms: 3x + 2x = 5x -12 + 5x = 2(2x + 1) + -6x Reorder the terms: -12 + 5x = 2(1 + 2x) + -6x -12 + 5x = (1 * 2 + 2x * 2) + -6x -12 + 5x = (2 + 4x) + -6x Combine like terms: 4x + -6x = -2x -12 + 5x = 2 + -2x Solving -12 + 5x = 2 + -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. -12 + 5x + 2x = 2 + -2x + 2x Combine like terms: 5x + 2x = 7x -12 + 7x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 7x = 2 + 0 -12 + 7x = 2 Add '12' to each side of the equation. -12 + 12 + 7x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 2 + 12 7x = 2 + 12 Combine like terms: 2 + 12 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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