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Simplifying 12 + -3(2x + -4) = 3x + 1 Reorder the terms: 12 + -3(-4 + 2x) = 3x + 1 12 + (-4 * -3 + 2x * -3) = 3x + 1 12 + (12 + -6x) = 3x + 1 Combine like terms: 12 + 12 = 24 24 + -6x = 3x + 1 Reorder the terms: 24 + -6x = 1 + 3x Solving 24 + -6x = 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 + -6x + -3x = 1 + 3x + -3x Combine like terms: -6x + -3x = -9x 24 + -9x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + -9x = 1 + 0 24 + -9x = 1 Add '-24' to each side of the equation. 24 + -24 + -9x = 1 + -24 Combine like terms: 24 + -24 = 0 0 + -9x = 1 + -24 -9x = 1 + -24 Combine like terms: 1 + -24 = -23 -9x = -23 Divide each side by '-9'. x = 2.555555556 Simplifying x = 2.555555556
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