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Simplifying 5x + -30 = 14x + 42 Reorder the terms: -30 + 5x = 14x + 42 Reorder the terms: -30 + 5x = 42 + 14x Solving -30 + 5x = 42 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -30 + 5x + -14x = 42 + 14x + -14x Combine like terms: 5x + -14x = -9x -30 + -9x = 42 + 14x + -14x Combine like terms: 14x + -14x = 0 -30 + -9x = 42 + 0 -30 + -9x = 42 Add '30' to each side of the equation. -30 + 30 + -9x = 42 + 30 Combine like terms: -30 + 30 = 0 0 + -9x = 42 + 30 -9x = 42 + 30 Combine like terms: 42 + 30 = 72 -9x = 72 Divide each side by '-9'. x = -8 Simplifying x = -8
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