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Simplifying 6x + -14 = 5x + 1 + -3x Reorder the terms: -14 + 6x = 5x + 1 + -3x Reorder the terms: -14 + 6x = 1 + 5x + -3x Combine like terms: 5x + -3x = 2x -14 + 6x = 1 + 2x Solving -14 + 6x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -14 + 6x + -2x = 1 + 2x + -2x Combine like terms: 6x + -2x = 4x -14 + 4x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 4x = 1 + 0 -14 + 4x = 1 Add '14' to each side of the equation. -14 + 14 + 4x = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = 1 + 14 4x = 1 + 14 Combine like terms: 1 + 14 = 15 4x = 15 Divide each side by '4'. x = 3.75 Simplifying x = 3.75
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