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Simplifying 5x + 4x + -28 = 42 + -5x Reorder the terms: -28 + 5x + 4x = 42 + -5x Combine like terms: 5x + 4x = 9x -28 + 9x = 42 + -5x Solving -28 + 9x = 42 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -28 + 9x + 5x = 42 + -5x + 5x Combine like terms: 9x + 5x = 14x -28 + 14x = 42 + -5x + 5x Combine like terms: -5x + 5x = 0 -28 + 14x = 42 + 0 -28 + 14x = 42 Add '28' to each side of the equation. -28 + 28 + 14x = 42 + 28 Combine like terms: -28 + 28 = 0 0 + 14x = 42 + 28 14x = 42 + 28 Combine like terms: 42 + 28 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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