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Simplifying 3(2x + 4) * 5 = 7x + 8 Reorder the terms: 3(4 + 2x) * 5 = 7x + 8 Reorder the terms for easier multiplication: 3 * 5(4 + 2x) = 7x + 8 Multiply 3 * 5 15(4 + 2x) = 7x + 8 (4 * 15 + 2x * 15) = 7x + 8 (60 + 30x) = 7x + 8 Reorder the terms: 60 + 30x = 8 + 7x Solving 60 + 30x = 8 + 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. 60 + 30x + -7x = 8 + 7x + -7x Combine like terms: 30x + -7x = 23x 60 + 23x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 60 + 23x = 8 + 0 60 + 23x = 8 Add '-60' to each side of the equation. 60 + -60 + 23x = 8 + -60 Combine like terms: 60 + -60 = 0 0 + 23x = 8 + -60 23x = 8 + -60 Combine like terms: 8 + -60 = -52 23x = -52 Divide each side by '23'. x = -2.260869565 Simplifying x = -2.260869565
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