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Simplifying 4 + 6(2x + -4) = 3x + 4 Reorder the terms: 4 + 6(-4 + 2x) = 3x + 4 4 + (-4 * 6 + 2x * 6) = 3x + 4 4 + (-24 + 12x) = 3x + 4 Combine like terms: 4 + -24 = -20 -20 + 12x = 3x + 4 Reorder the terms: -20 + 12x = 4 + 3x Solving -20 + 12x = 4 + 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 = 4 + 3x + -3x Combine like terms: 12x + -3x = 9x -20 + 9x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 9x = 4 + 0 -20 + 9x = 4 Add '20' to each side of the equation. -20 + 20 + 9x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 9x = 4 + 20 9x = 4 + 20 Combine like terms: 4 + 20 = 24 9x = 24 Divide each side by '9'. x = 2.666666667 Simplifying x = 2.666666667
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