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Simplifying 2x + -12 + 3x = 5 + -1x + 1 Reorder the terms: -12 + 2x + 3x = 5 + -1x + 1 Combine like terms: 2x + 3x = 5x -12 + 5x = 5 + -1x + 1 Reorder the terms: -12 + 5x = 5 + 1 + -1x Combine like terms: 5 + 1 = 6 -12 + 5x = 6 + -1x Solving -12 + 5x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + 5x + x = 6 + -1x + x Combine like terms: 5x + x = 6x -12 + 6x = 6 + -1x + x Combine like terms: -1x + x = 0 -12 + 6x = 6 + 0 -12 + 6x = 6 Add '12' to each side of the equation. -12 + 12 + 6x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 6 + 12 6x = 6 + 12 Combine like terms: 6 + 12 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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