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Simplifying 12 + -4(3x + 8) = 3x + 9 Reorder the terms: 12 + -4(8 + 3x) = 3x + 9 12 + (8 * -4 + 3x * -4) = 3x + 9 12 + (-32 + -12x) = 3x + 9 Combine like terms: 12 + -32 = -20 -20 + -12x = 3x + 9 Reorder the terms: -20 + -12x = 9 + 3x Solving -20 + -12x = 9 + 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. -20 + -12x + -3x = 9 + 3x + -3x Combine like terms: -12x + -3x = -15x -20 + -15x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + -15x = 9 + 0 -20 + -15x = 9 Add '20' to each side of the equation. -20 + 20 + -15x = 9 + 20 Combine like terms: -20 + 20 = 0 0 + -15x = 9 + 20 -15x = 9 + 20 Combine like terms: 9 + 20 = 29 -15x = 29 Divide each side by '-15'. x = -1.933333333 Simplifying x = -1.933333333
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