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Simplifying 9x + -4(3x + -6) = 3x + 1 Reorder the terms: 9x + -4(-6 + 3x) = 3x + 1 9x + (-6 * -4 + 3x * -4) = 3x + 1 9x + (24 + -12x) = 3x + 1 Reorder the terms: 24 + 9x + -12x = 3x + 1 Combine like terms: 9x + -12x = -3x 24 + -3x = 3x + 1 Reorder the terms: 24 + -3x = 1 + 3x Solving 24 + -3x = 1 + 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. 24 + -3x + -3x = 1 + 3x + -3x Combine like terms: -3x + -3x = -6x 24 + -6x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + -6x = 1 + 0 24 + -6x = 1 Add '-24' to each side of the equation. 24 + -24 + -6x = 1 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = 1 + -24 -6x = 1 + -24 Combine like terms: 1 + -24 = -23 -6x = -23 Divide each side by '-6'. x = 3.833333333 Simplifying x = 3.833333333
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