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Simplifying 5x + 4x + -42 = 70 + -5x Reorder the terms: -42 + 5x + 4x = 70 + -5x Combine like terms: 5x + 4x = 9x -42 + 9x = 70 + -5x Solving -42 + 9x = 70 + -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 = 70 + -5x + 5x Combine like terms: 9x + 5x = 14x -42 + 14x = 70 + -5x + 5x Combine like terms: -5x + 5x = 0 -42 + 14x = 70 + 0 -42 + 14x = 70 Add '42' to each side of the equation. -42 + 42 + 14x = 70 + 42 Combine like terms: -42 + 42 = 0 0 + 14x = 70 + 42 14x = 70 + 42 Combine like terms: 70 + 42 = 112 14x = 112 Divide each side by '14'. x = 8 Simplifying x = 8
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