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Simplifying 14x + -7 = 9x + -42 Reorder the terms: -7 + 14x = 9x + -42 Reorder the terms: -7 + 14x = -42 + 9x Solving -7 + 14x = -42 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -7 + 14x + -9x = -42 + 9x + -9x Combine like terms: 14x + -9x = 5x -7 + 5x = -42 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + 5x = -42 + 0 -7 + 5x = -42 Add '7' to each side of the equation. -7 + 7 + 5x = -42 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = -42 + 7 5x = -42 + 7 Combine like terms: -42 + 7 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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