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Simplifying 3x + 2 + -4x + 1 = 5 + 14x Reorder the terms: 2 + 1 + 3x + -4x = 5 + 14x Combine like terms: 2 + 1 = 3 3 + 3x + -4x = 5 + 14x Combine like terms: 3x + -4x = -1x 3 + -1x = 5 + 14x Solving 3 + -1x = 5 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 3 + -1x + -14x = 5 + 14x + -14x Combine like terms: -1x + -14x = -15x 3 + -15x = 5 + 14x + -14x Combine like terms: 14x + -14x = 0 3 + -15x = 5 + 0 3 + -15x = 5 Add '-3' to each side of the equation. 3 + -3 + -15x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -15x = 5 + -3 -15x = 5 + -3 Combine like terms: 5 + -3 = 2 -15x = 2 Divide each side by '-15'. x = -0.1333333333 Simplifying x = -0.1333333333
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