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Simplifying 4 + 13x + -2 = 9x + 46 + -7x Reorder the terms: 4 + -2 + 13x = 9x + 46 + -7x Combine like terms: 4 + -2 = 2 2 + 13x = 9x + 46 + -7x Reorder the terms: 2 + 13x = 46 + 9x + -7x Combine like terms: 9x + -7x = 2x 2 + 13x = 46 + 2x Solving 2 + 13x = 46 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2 + 13x + -2x = 46 + 2x + -2x Combine like terms: 13x + -2x = 11x 2 + 11x = 46 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 11x = 46 + 0 2 + 11x = 46 Add '-2' to each side of the equation. 2 + -2 + 11x = 46 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = 46 + -2 11x = 46 + -2 Combine like terms: 46 + -2 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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