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Simplifying 5(3x + 2) + -6x = 46 Reorder the terms: 5(2 + 3x) + -6x = 46 (2 * 5 + 3x * 5) + -6x = 46 (10 + 15x) + -6x = 46 Combine like terms: 15x + -6x = 9x 10 + 9x = 46 Solving 10 + 9x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 9x = 46 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = 46 + -10 9x = 46 + -10 Combine like terms: 46 + -10 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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