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Simplifying 5x + -7 + x = 7x + 21 + -5x Reorder the terms: -7 + 5x + x = 7x + 21 + -5x Combine like terms: 5x + x = 6x -7 + 6x = 7x + 21 + -5x Reorder the terms: -7 + 6x = 21 + 7x + -5x Combine like terms: 7x + -5x = 2x -7 + 6x = 21 + 2x Solving -7 + 6x = 21 + 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 + 6x + -2x = 21 + 2x + -2x Combine like terms: 6x + -2x = 4x -7 + 4x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 4x = 21 + 0 -7 + 4x = 21 Add '7' to each side of the equation. -7 + 7 + 4x = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 21 + 7 4x = 21 + 7 Combine like terms: 21 + 7 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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