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Simplifying 5(8x + 6) + 12 = 402 Reorder the terms: 5(6 + 8x) + 12 = 402 (6 * 5 + 8x * 5) + 12 = 402 (30 + 40x) + 12 = 402 Reorder the terms: 30 + 12 + 40x = 402 Combine like terms: 30 + 12 = 42 42 + 40x = 402 Solving 42 + 40x = 402 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 40x = 402 + -42 Combine like terms: 42 + -42 = 0 0 + 40x = 402 + -42 40x = 402 + -42 Combine like terms: 402 + -42 = 360 40x = 360 Divide each side by '40'. x = 9 Simplifying x = 9
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