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Simplifying 3(5x + 3) = 17x + -7 Reorder the terms: 3(3 + 5x) = 17x + -7 (3 * 3 + 5x * 3) = 17x + -7 (9 + 15x) = 17x + -7 Reorder the terms: 9 + 15x = -7 + 17x Solving 9 + 15x = -7 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 9 + 15x + -17x = -7 + 17x + -17x Combine like terms: 15x + -17x = -2x 9 + -2x = -7 + 17x + -17x Combine like terms: 17x + -17x = 0 9 + -2x = -7 + 0 9 + -2x = -7 Add '-9' to each side of the equation. 9 + -9 + -2x = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = -7 + -9 -2x = -7 + -9 Combine like terms: -7 + -9 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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