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Simplifying 3x + -4x + 1 = 5x + 2 Reorder the terms: 1 + 3x + -4x = 5x + 2 Combine like terms: 3x + -4x = -1x 1 + -1x = 5x + 2 Reorder the terms: 1 + -1x = 2 + 5x Solving 1 + -1x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + -1x + -5x = 2 + 5x + -5x Combine like terms: -1x + -5x = -6x 1 + -6x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -6x = 2 + 0 1 + -6x = 2 Add '-1' to each side of the equation. 1 + -1 + -6x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 2 + -1 -6x = 2 + -1 Combine like terms: 2 + -1 = 1 -6x = 1 Divide each side by '-6'. x = -0.1666666667 Simplifying x = -0.1666666667
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