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Simplifying -6x + 4 = 5x + 14 + -13x Reorder the terms: 4 + -6x = 5x + 14 + -13x Reorder the terms: 4 + -6x = 14 + 5x + -13x Combine like terms: 5x + -13x = -8x 4 + -6x = 14 + -8x Solving 4 + -6x = 14 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 4 + -6x + 8x = 14 + -8x + 8x Combine like terms: -6x + 8x = 2x 4 + 2x = 14 + -8x + 8x Combine like terms: -8x + 8x = 0 4 + 2x = 14 + 0 4 + 2x = 14 Add '-4' to each side of the equation. 4 + -4 + 2x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 14 + -4 2x = 14 + -4 Combine like terms: 14 + -4 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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