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Simplifying 3(4x + -2) = 6x + -4 + 10 Reorder the terms: 3(-2 + 4x) = 6x + -4 + 10 (-2 * 3 + 4x * 3) = 6x + -4 + 10 (-6 + 12x) = 6x + -4 + 10 Reorder the terms: -6 + 12x = -4 + 10 + 6x Combine like terms: -4 + 10 = 6 -6 + 12x = 6 + 6x Solving -6 + 12x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 12x + -6x = 6 + 6x + -6x Combine like terms: 12x + -6x = 6x -6 + 6x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 6x = 6 + 0 -6 + 6x = 6 Add '6' to each side of the equation. -6 + 6 + 6x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 6 + 6 6x = 6 + 6 Combine like terms: 6 + 6 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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