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Simplifying 78 + 17x + -62 + -27x = -5x + 46 Reorder the terms: 78 + -62 + 17x + -27x = -5x + 46 Combine like terms: 78 + -62 = 16 16 + 17x + -27x = -5x + 46 Combine like terms: 17x + -27x = -10x 16 + -10x = -5x + 46 Reorder the terms: 16 + -10x = 46 + -5x Solving 16 + -10x = 46 + -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. 16 + -10x + 5x = 46 + -5x + 5x Combine like terms: -10x + 5x = -5x 16 + -5x = 46 + -5x + 5x Combine like terms: -5x + 5x = 0 16 + -5x = 46 + 0 16 + -5x = 46 Add '-16' to each side of the equation. 16 + -16 + -5x = 46 + -16 Combine like terms: 16 + -16 = 0 0 + -5x = 46 + -16 -5x = 46 + -16 Combine like terms: 46 + -16 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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