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Simplifying 3(5x + 6) + -4 = 8x + 35 Reorder the terms: 3(6 + 5x) + -4 = 8x + 35 (6 * 3 + 5x * 3) + -4 = 8x + 35 (18 + 15x) + -4 = 8x + 35 Reorder the terms: 18 + -4 + 15x = 8x + 35 Combine like terms: 18 + -4 = 14 14 + 15x = 8x + 35 Reorder the terms: 14 + 15x = 35 + 8x Solving 14 + 15x = 35 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 14 + 15x + -8x = 35 + 8x + -8x Combine like terms: 15x + -8x = 7x 14 + 7x = 35 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + 7x = 35 + 0 14 + 7x = 35 Add '-14' to each side of the equation. 14 + -14 + 7x = 35 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 35 + -14 7x = 35 + -14 Combine like terms: 35 + -14 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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