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Simplifying 5x + 34 = 6x + 4x + -46 Reorder the terms: 34 + 5x = 6x + 4x + -46 Reorder the terms: 34 + 5x = -46 + 6x + 4x Combine like terms: 6x + 4x = 10x 34 + 5x = -46 + 10x Solving 34 + 5x = -46 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 34 + 5x + -10x = -46 + 10x + -10x Combine like terms: 5x + -10x = -5x 34 + -5x = -46 + 10x + -10x Combine like terms: 10x + -10x = 0 34 + -5x = -46 + 0 34 + -5x = -46 Add '-34' to each side of the equation. 34 + -34 + -5x = -46 + -34 Combine like terms: 34 + -34 = 0 0 + -5x = -46 + -34 -5x = -46 + -34 Combine like terms: -46 + -34 = -80 -5x = -80 Divide each side by '-5'. x = 16 Simplifying x = 16
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