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Simplifying 3 + 13x + -2 = 8x + 46 + -4x Reorder the terms: 3 + -2 + 13x = 8x + 46 + -4x Combine like terms: 3 + -2 = 1 1 + 13x = 8x + 46 + -4x Reorder the terms: 1 + 13x = 46 + 8x + -4x Combine like terms: 8x + -4x = 4x 1 + 13x = 46 + 4x Solving 1 + 13x = 46 + 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. 1 + 13x + -4x = 46 + 4x + -4x Combine like terms: 13x + -4x = 9x 1 + 9x = 46 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 9x = 46 + 0 1 + 9x = 46 Add '-1' to each side of the equation. 1 + -1 + 9x = 46 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 46 + -1 9x = 46 + -1 Combine like terms: 46 + -1 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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