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Simplifying 6x + -13 = 5x + 1 + 15x Reorder the terms: -13 + 6x = 5x + 1 + 15x Reorder the terms: -13 + 6x = 1 + 5x + 15x Combine like terms: 5x + 15x = 20x -13 + 6x = 1 + 20x Solving -13 + 6x = 1 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -13 + 6x + -20x = 1 + 20x + -20x Combine like terms: 6x + -20x = -14x -13 + -14x = 1 + 20x + -20x Combine like terms: 20x + -20x = 0 -13 + -14x = 1 + 0 -13 + -14x = 1 Add '13' to each side of the equation. -13 + 13 + -14x = 1 + 13 Combine like terms: -13 + 13 = 0 0 + -14x = 1 + 13 -14x = 1 + 13 Combine like terms: 1 + 13 = 14 -14x = 14 Divide each side by '-14'. x = -1 Simplifying x = -1
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