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Simplifying 3(4x + -2) = 10x + 10 Reorder the terms: 3(-2 + 4x) = 10x + 10 (-2 * 3 + 4x * 3) = 10x + 10 (-6 + 12x) = 10x + 10 Reorder the terms: -6 + 12x = 10 + 10x Solving -6 + 12x = 10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + 12x + -10x = 10 + 10x + -10x Combine like terms: 12x + -10x = 2x -6 + 2x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + 2x = 10 + 0 -6 + 2x = 10 Add '6' to each side of the equation. -6 + 6 + 2x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 10 + 6 2x = 10 + 6 Combine like terms: 10 + 6 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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