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Simplifying 7 = 8x + -1(7 + -6x) 7 = 8x + (7 * -1 + -6x * -1) 7 = 8x + (-7 + 6x) Reorder the terms: 7 = -7 + 8x + 6x Combine like terms: 8x + 6x = 14x 7 = -7 + 14x Solving 7 = -7 + 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. 7 + -14x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 7 + -14x = -7 + 0 7 + -14x = -7 Add '-7' to each side of the equation. 7 + -7 + -14x = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -14x = -7 + -7 -14x = -7 + -7 Combine like terms: -7 + -7 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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