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Simplifying 3(4x + -3) + -12 = 7x + 4 Reorder the terms: 3(-3 + 4x) + -12 = 7x + 4 (-3 * 3 + 4x * 3) + -12 = 7x + 4 (-9 + 12x) + -12 = 7x + 4 Reorder the terms: -9 + -12 + 12x = 7x + 4 Combine like terms: -9 + -12 = -21 -21 + 12x = 7x + 4 Reorder the terms: -21 + 12x = 4 + 7x Solving -21 + 12x = 4 + 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. -21 + 12x + -7x = 4 + 7x + -7x Combine like terms: 12x + -7x = 5x -21 + 5x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 + 5x = 4 + 0 -21 + 5x = 4 Add '21' to each side of the equation. -21 + 21 + 5x = 4 + 21 Combine like terms: -21 + 21 = 0 0 + 5x = 4 + 21 5x = 4 + 21 Combine like terms: 4 + 21 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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