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Simplifying 8x + 7 = 7 + -1(6x + -9) Reorder the terms: 7 + 8x = 7 + -1(6x + -9) Reorder the terms: 7 + 8x = 7 + -1(-9 + 6x) 7 + 8x = 7 + (-9 * -1 + 6x * -1) 7 + 8x = 7 + (9 + -6x) Combine like terms: 7 + 9 = 16 7 + 8x = 16 + -6x Solving 7 + 8x = 16 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 7 + 8x + 6x = 16 + -6x + 6x Combine like terms: 8x + 6x = 14x 7 + 14x = 16 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + 14x = 16 + 0 7 + 14x = 16 Add '-7' to each side of the equation. 7 + -7 + 14x = 16 + -7 Combine like terms: 7 + -7 = 0 0 + 14x = 16 + -7 14x = 16 + -7 Combine like terms: 16 + -7 = 9 14x = 9 Divide each side by '14'. x = 0.6428571429 Simplifying x = 0.6428571429
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