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Simplifying 2x + 5 = -4x + 42 Reorder the terms: 5 + 2x = -4x + 42 Reorder the terms: 5 + 2x = 42 + -4x Solving 5 + 2x = 42 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 5 + 2x + 4x = 42 + -4x + 4x Combine like terms: 2x + 4x = 6x 5 + 6x = 42 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 6x = 42 + 0 5 + 6x = 42 Add '-5' to each side of the equation. 5 + -5 + 6x = 42 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 42 + -5 6x = 42 + -5 Combine like terms: 42 + -5 = 37 6x = 37 Divide each side by '6'. x = 6.166666667 Simplifying x = 6.166666667
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