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Simplifying 3x + -4x + 1 = 12x + -1 Reorder the terms: 1 + 3x + -4x = 12x + -1 Combine like terms: 3x + -4x = -1x 1 + -1x = 12x + -1 Reorder the terms: 1 + -1x = -1 + 12x Solving 1 + -1x = -1 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 1 + -1x + -12x = -1 + 12x + -12x Combine like terms: -1x + -12x = -13x 1 + -13x = -1 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + -13x = -1 + 0 1 + -13x = -1 Add '-1' to each side of the equation. 1 + -1 + -13x = -1 + -1 Combine like terms: 1 + -1 = 0 0 + -13x = -1 + -1 -13x = -1 + -1 Combine like terms: -1 + -1 = -2 -13x = -2 Divide each side by '-13'. x = 0.1538461538 Simplifying x = 0.1538461538
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