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Simplifying 3(3x + 10) = 5x + 46 Reorder the terms: 3(10 + 3x) = 5x + 46 (10 * 3 + 3x * 3) = 5x + 46 (30 + 9x) = 5x + 46 Reorder the terms: 30 + 9x = 46 + 5x Solving 30 + 9x = 46 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 30 + 9x + -5x = 46 + 5x + -5x Combine like terms: 9x + -5x = 4x 30 + 4x = 46 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + 4x = 46 + 0 30 + 4x = 46 Add '-30' to each side of the equation. 30 + -30 + 4x = 46 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 46 + -30 4x = 46 + -30 Combine like terms: 46 + -30 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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