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Simplifying 8x + -3(x + 9) = 4x + 12 Reorder the terms: 8x + -3(9 + x) = 4x + 12 8x + (9 * -3 + x * -3) = 4x + 12 8x + (-27 + -3x) = 4x + 12 Reorder the terms: -27 + 8x + -3x = 4x + 12 Combine like terms: 8x + -3x = 5x -27 + 5x = 4x + 12 Reorder the terms: -27 + 5x = 12 + 4x Solving -27 + 5x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -27 + 5x + -4x = 12 + 4x + -4x Combine like terms: 5x + -4x = 1x -27 + 1x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -27 + 1x = 12 + 0 -27 + 1x = 12 Add '27' to each side of the equation. -27 + 27 + 1x = 12 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = 12 + 27 1x = 12 + 27 Combine like terms: 12 + 27 = 39 1x = 39 Divide each side by '1'. x = 39 Simplifying x = 39
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