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Simplifying 6(3x + -4) = 3(x + 2) Reorder the terms: 6(-4 + 3x) = 3(x + 2) (-4 * 6 + 3x * 6) = 3(x + 2) (-24 + 18x) = 3(x + 2) Reorder the terms: -24 + 18x = 3(2 + x) -24 + 18x = (2 * 3 + x * 3) -24 + 18x = (6 + 3x) Solving -24 + 18x = 6 + 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 + 18x + -3x = 6 + 3x + -3x Combine like terms: 18x + -3x = 15x -24 + 15x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 15x = 6 + 0 -24 + 15x = 6 Add '24' to each side of the equation. -24 + 24 + 15x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 15x = 6 + 24 15x = 6 + 24 Combine like terms: 6 + 24 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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