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Simplifying -6x + 7 = 8x + -13 Reorder the terms: 7 + -6x = 8x + -13 Reorder the terms: 7 + -6x = -13 + 8x Solving 7 + -6x = -13 + 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. 7 + -6x + -8x = -13 + 8x + -8x Combine like terms: -6x + -8x = -14x 7 + -14x = -13 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -14x = -13 + 0 7 + -14x = -13 Add '-7' to each side of the equation. 7 + -7 + -14x = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -14x = -13 + -7 -14x = -13 + -7 Combine like terms: -13 + -7 = -20 -14x = -20 Divide each side by '-14'. x = 1.428571429 Simplifying x = 1.428571429
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