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Simplifying -3x + 7 = 6 + -1(8x + 7) Reorder the terms: 7 + -3x = 6 + -1(8x + 7) Reorder the terms: 7 + -3x = 6 + -1(7 + 8x) 7 + -3x = 6 + (7 * -1 + 8x * -1) 7 + -3x = 6 + (-7 + -8x) Combine like terms: 6 + -7 = -1 7 + -3x = -1 + -8x Solving 7 + -3x = -1 + -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 + -3x + 8x = -1 + -8x + 8x Combine like terms: -3x + 8x = 5x 7 + 5x = -1 + -8x + 8x Combine like terms: -8x + 8x = 0 7 + 5x = -1 + 0 7 + 5x = -1 Add '-7' to each side of the equation. 7 + -7 + 5x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = -1 + -7 5x = -1 + -7 Combine like terms: -1 + -7 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6
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