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Simplifying 4x + 6 = 46 + -9x Reorder the terms: 6 + 4x = 46 + -9x Solving 6 + 4x = 46 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 6 + 4x + 9x = 46 + -9x + 9x Combine like terms: 4x + 9x = 13x 6 + 13x = 46 + -9x + 9x Combine like terms: -9x + 9x = 0 6 + 13x = 46 + 0 6 + 13x = 46 Add '-6' to each side of the equation. 6 + -6 + 13x = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 13x = 46 + -6 13x = 46 + -6 Combine like terms: 46 + -6 = 40 13x = 40 Divide each side by '13'. x = 3.076923077 Simplifying x = 3.076923077
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