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Simplifying 3x + 4x + -12 = -5x + -1x + 1 Reorder the terms: -12 + 3x + 4x = -5x + -1x + 1 Combine like terms: 3x + 4x = 7x -12 + 7x = -5x + -1x + 1 Reorder the terms: -12 + 7x = 1 + -5x + -1x Combine like terms: -5x + -1x = -6x -12 + 7x = 1 + -6x Solving -12 + 7x = 1 + -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. -12 + 7x + 6x = 1 + -6x + 6x Combine like terms: 7x + 6x = 13x -12 + 13x = 1 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 13x = 1 + 0 -12 + 13x = 1 Add '12' to each side of the equation. -12 + 12 + 13x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 13x = 1 + 12 13x = 1 + 12 Combine like terms: 1 + 12 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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