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Simplifying 4(3x + 4) + -28 = 7x + -2 Reorder the terms: 4(4 + 3x) + -28 = 7x + -2 (4 * 4 + 3x * 4) + -28 = 7x + -2 (16 + 12x) + -28 = 7x + -2 Reorder the terms: 16 + -28 + 12x = 7x + -2 Combine like terms: 16 + -28 = -12 -12 + 12x = 7x + -2 Reorder the terms: -12 + 12x = -2 + 7x Solving -12 + 12x = -2 + 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. -12 + 12x + -7x = -2 + 7x + -7x Combine like terms: 12x + -7x = 5x -12 + 5x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + 5x = -2 + 0 -12 + 5x = -2 Add '12' to each side of the equation. -12 + 12 + 5x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = -2 + 12 5x = -2 + 12 Combine like terms: -2 + 12 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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