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Simplifying 4x + 5x + -42 = 56 + -5x Reorder the terms: -42 + 4x + 5x = 56 + -5x Combine like terms: 4x + 5x = 9x -42 + 9x = 56 + -5x Solving -42 + 9x = 56 + -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. -42 + 9x + 5x = 56 + -5x + 5x Combine like terms: 9x + 5x = 14x -42 + 14x = 56 + -5x + 5x Combine like terms: -5x + 5x = 0 -42 + 14x = 56 + 0 -42 + 14x = 56 Add '42' to each side of the equation. -42 + 42 + 14x = 56 + 42 Combine like terms: -42 + 42 = 0 0 + 14x = 56 + 42 14x = 56 + 42 Combine like terms: 56 + 42 = 98 14x = 98 Divide each side by '14'. x = 7 Simplifying x = 7
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