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Simplifying 3(2x + 5) = 46 + -7x Reorder the terms: 3(5 + 2x) = 46 + -7x (5 * 3 + 2x * 3) = 46 + -7x (15 + 6x) = 46 + -7x Solving 15 + 6x = 46 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 15 + 6x + 7x = 46 + -7x + 7x Combine like terms: 6x + 7x = 13x 15 + 13x = 46 + -7x + 7x Combine like terms: -7x + 7x = 0 15 + 13x = 46 + 0 15 + 13x = 46 Add '-15' to each side of the equation. 15 + -15 + 13x = 46 + -15 Combine like terms: 15 + -15 = 0 0 + 13x = 46 + -15 13x = 46 + -15 Combine like terms: 46 + -15 = 31 13x = 31 Divide each side by '13'. x = 2.384615385 Simplifying x = 2.384615385
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