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Simplifying 8 + -9x + -4 = -42 + 5x + -10 Reorder the terms: 8 + -4 + -9x = -42 + 5x + -10 Combine like terms: 8 + -4 = 4 4 + -9x = -42 + 5x + -10 Reorder the terms: 4 + -9x = -42 + -10 + 5x Combine like terms: -42 + -10 = -52 4 + -9x = -52 + 5x Solving 4 + -9x = -52 + 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. 4 + -9x + -5x = -52 + 5x + -5x Combine like terms: -9x + -5x = -14x 4 + -14x = -52 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -14x = -52 + 0 4 + -14x = -52 Add '-4' to each side of the equation. 4 + -4 + -14x = -52 + -4 Combine like terms: 4 + -4 = 0 0 + -14x = -52 + -4 -14x = -52 + -4 Combine like terms: -52 + -4 = -56 -14x = -56 Divide each side by '-14'. x = 4 Simplifying x = 4
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