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Simplifying 5(6x + 7) + -17 = 9x + -3 Reorder the terms: 5(7 + 6x) + -17 = 9x + -3 (7 * 5 + 6x * 5) + -17 = 9x + -3 (35 + 30x) + -17 = 9x + -3 Reorder the terms: 35 + -17 + 30x = 9x + -3 Combine like terms: 35 + -17 = 18 18 + 30x = 9x + -3 Reorder the terms: 18 + 30x = -3 + 9x Solving 18 + 30x = -3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 18 + 30x + -9x = -3 + 9x + -9x Combine like terms: 30x + -9x = 21x 18 + 21x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 18 + 21x = -3 + 0 18 + 21x = -3 Add '-18' to each side of the equation. 18 + -18 + 21x = -3 + -18 Combine like terms: 18 + -18 = 0 0 + 21x = -3 + -18 21x = -3 + -18 Combine like terms: -3 + -18 = -21 21x = -21 Divide each side by '21'. x = -1 Simplifying x = -1
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