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Simplifying 3(4x + -6) + 8 = 5x + 4 Reorder the terms: 3(-6 + 4x) + 8 = 5x + 4 (-6 * 3 + 4x * 3) + 8 = 5x + 4 (-18 + 12x) + 8 = 5x + 4 Reorder the terms: -18 + 8 + 12x = 5x + 4 Combine like terms: -18 + 8 = -10 -10 + 12x = 5x + 4 Reorder the terms: -10 + 12x = 4 + 5x Solving -10 + 12x = 4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -10 + 12x + -5x = 4 + 5x + -5x Combine like terms: 12x + -5x = 7x -10 + 7x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 7x = 4 + 0 -10 + 7x = 4 Add '10' to each side of the equation. -10 + 10 + 7x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 4 + 10 7x = 4 + 10 Combine like terms: 4 + 10 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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