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Simplifying -117 = 5x + -42 Reorder the terms: -117 = -42 + 5x Solving -117 = -42 + 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. -117 + -5x = -42 + 5x + -5x Combine like terms: 5x + -5x = 0 -117 + -5x = -42 + 0 -117 + -5x = -42 Add '117' to each side of the equation. -117 + 117 + -5x = -42 + 117 Combine like terms: -117 + 117 = 0 0 + -5x = -42 + 117 -5x = -42 + 117 Combine like terms: -42 + 117 = 75 -5x = 75 Divide each side by '-5'. x = -15 Simplifying x = -15
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