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Simplifying 9x + -3(x + 8) = 14 + 5x + -34 Reorder the terms: 9x + -3(8 + x) = 14 + 5x + -34 9x + (8 * -3 + x * -3) = 14 + 5x + -34 9x + (-24 + -3x) = 14 + 5x + -34 Reorder the terms: -24 + 9x + -3x = 14 + 5x + -34 Combine like terms: 9x + -3x = 6x -24 + 6x = 14 + 5x + -34 Reorder the terms: -24 + 6x = 14 + -34 + 5x Combine like terms: 14 + -34 = -20 -24 + 6x = -20 + 5x Solving -24 + 6x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -24 + 6x + -5x = -20 + 5x + -5x Combine like terms: 6x + -5x = 1x -24 + 1x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + 1x = -20 + 0 -24 + 1x = -20 Add '24' to each side of the equation. -24 + 24 + 1x = -20 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = -20 + 24 1x = -20 + 24 Combine like terms: -20 + 24 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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