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Simplifying 3(4x + -2) = 7x + 19 Reorder the terms: 3(-2 + 4x) = 7x + 19 (-2 * 3 + 4x * 3) = 7x + 19 (-6 + 12x) = 7x + 19 Reorder the terms: -6 + 12x = 19 + 7x Solving -6 + 12x = 19 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 12x + -7x = 19 + 7x + -7x Combine like terms: 12x + -7x = 5x -6 + 5x = 19 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + 5x = 19 + 0 -6 + 5x = 19 Add '6' to each side of the equation. -6 + 6 + 5x = 19 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 19 + 6 5x = 19 + 6 Combine like terms: 19 + 6 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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