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Simplifying 15x + 10 = 46 + 3x Reorder the terms: 10 + 15x = 46 + 3x Solving 10 + 15x = 46 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 15x + -3x = 46 + 3x + -3x Combine like terms: 15x + -3x = 12x 10 + 12x = 46 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 12x = 46 + 0 10 + 12x = 46 Add '-10' to each side of the equation. 10 + -10 + 12x = 46 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = 46 + -10 12x = 46 + -10 Combine like terms: 46 + -10 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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