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Simplifying 6x + 7 = -1(8x + -5) Reorder the terms: 7 + 6x = -1(8x + -5) Reorder the terms: 7 + 6x = -1(-5 + 8x) 7 + 6x = (-5 * -1 + 8x * -1) 7 + 6x = (5 + -8x) Solving 7 + 6x = 5 + -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 = 5 + -8x + 8x Combine like terms: 6x + 8x = 14x 7 + 14x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 7 + 14x = 5 + 0 7 + 14x = 5 Add '-7' to each side of the equation. 7 + -7 + 14x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 14x = 5 + -7 14x = 5 + -7 Combine like terms: 5 + -7 = -2 14x = -2 Divide each side by '14'. x = -0.1428571429 Simplifying x = -0.1428571429
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