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Simplifying 4x + 6 = 46 + -6x Reorder the terms: 6 + 4x = 46 + -6x Solving 6 + 4x = 46 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 6 + 4x + 6x = 46 + -6x + 6x Combine like terms: 4x + 6x = 10x 6 + 10x = 46 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 10x = 46 + 0 6 + 10x = 46 Add '-6' to each side of the equation. 6 + -6 + 10x = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = 46 + -6 10x = 46 + -6 Combine like terms: 46 + -6 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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