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Simplifying 3x + 7x + -28 = -2x + 1 + 6x Reorder the terms: -28 + 3x + 7x = -2x + 1 + 6x Combine like terms: 3x + 7x = 10x -28 + 10x = -2x + 1 + 6x Reorder the terms: -28 + 10x = 1 + -2x + 6x Combine like terms: -2x + 6x = 4x -28 + 10x = 1 + 4x Solving -28 + 10x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -28 + 10x + -4x = 1 + 4x + -4x Combine like terms: 10x + -4x = 6x -28 + 6x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -28 + 6x = 1 + 0 -28 + 6x = 1 Add '28' to each side of the equation. -28 + 28 + 6x = 1 + 28 Combine like terms: -28 + 28 = 0 0 + 6x = 1 + 28 6x = 1 + 28 Combine like terms: 1 + 28 = 29 6x = 29 Divide each side by '6'. x = 4.833333333 Simplifying x = 4.833333333
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