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Simplifying 3(5x + 6) = 7x + 74 Reorder the terms: 3(6 + 5x) = 7x + 74 (6 * 3 + 5x * 3) = 7x + 74 (18 + 15x) = 7x + 74 Reorder the terms: 18 + 15x = 74 + 7x Solving 18 + 15x = 74 + 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. 18 + 15x + -7x = 74 + 7x + -7x Combine like terms: 15x + -7x = 8x 18 + 8x = 74 + 7x + -7x Combine like terms: 7x + -7x = 0 18 + 8x = 74 + 0 18 + 8x = 74 Add '-18' to each side of the equation. 18 + -18 + 8x = 74 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = 74 + -18 8x = 74 + -18 Combine like terms: 74 + -18 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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