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Simplifying 9x + 6 = 7 + -1(3x + -8) Reorder the terms: 6 + 9x = 7 + -1(3x + -8) Reorder the terms: 6 + 9x = 7 + -1(-8 + 3x) 6 + 9x = 7 + (-8 * -1 + 3x * -1) 6 + 9x = 7 + (8 + -3x) Combine like terms: 7 + 8 = 15 6 + 9x = 15 + -3x Solving 6 + 9x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + 9x + 3x = 15 + -3x + 3x Combine like terms: 9x + 3x = 12x 6 + 12x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 12x = 15 + 0 6 + 12x = 15 Add '-6' to each side of the equation. 6 + -6 + 12x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 15 + -6 12x = 15 + -6 Combine like terms: 15 + -6 = 9 12x = 9 Divide each side by '12'. x = 0.75 Simplifying x = 0.75
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