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Simplifying 4x + 3x + -7 = 2x + 28 Reorder the terms: -7 + 4x + 3x = 2x + 28 Combine like terms: 4x + 3x = 7x -7 + 7x = 2x + 28 Reorder the terms: -7 + 7x = 28 + 2x Solving -7 + 7x = 28 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 7x + -2x = 28 + 2x + -2x Combine like terms: 7x + -2x = 5x -7 + 5x = 28 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 5x = 28 + 0 -7 + 5x = 28 Add '7' to each side of the equation. -7 + 7 + 5x = 28 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 28 + 7 5x = 28 + 7 Combine like terms: 28 + 7 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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