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Simplifying 9 + -1(2x + 3) = 3(x + -8) Reorder the terms: 9 + -1(3 + 2x) = 3(x + -8) 9 + (3 * -1 + 2x * -1) = 3(x + -8) 9 + (-3 + -2x) = 3(x + -8) Combine like terms: 9 + -3 = 6 6 + -2x = 3(x + -8) Reorder the terms: 6 + -2x = 3(-8 + x) 6 + -2x = (-8 * 3 + x * 3) 6 + -2x = (-24 + 3x) Solving 6 + -2x = -24 + 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 + -2x + -3x = -24 + 3x + -3x Combine like terms: -2x + -3x = -5x 6 + -5x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -5x = -24 + 0 6 + -5x = -24 Add '-6' to each side of the equation. 6 + -6 + -5x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = -24 + -6 -5x = -24 + -6 Combine like terms: -24 + -6 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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