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Simplifying 7(5x + 9) + 2(9x + -3) = -30 Reorder the terms: 7(9 + 5x) + 2(9x + -3) = -30 (9 * 7 + 5x * 7) + 2(9x + -3) = -30 (63 + 35x) + 2(9x + -3) = -30 Reorder the terms: 63 + 35x + 2(-3 + 9x) = -30 63 + 35x + (-3 * 2 + 9x * 2) = -30 63 + 35x + (-6 + 18x) = -30 Reorder the terms: 63 + -6 + 35x + 18x = -30 Combine like terms: 63 + -6 = 57 57 + 35x + 18x = -30 Combine like terms: 35x + 18x = 53x 57 + 53x = -30 Solving 57 + 53x = -30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + 53x = -30 + -57 Combine like terms: 57 + -57 = 0 0 + 53x = -30 + -57 53x = -30 + -57 Combine like terms: -30 + -57 = -87 53x = -87 Divide each side by '53'. x = -1.641509434 Simplifying x = -1.641509434
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