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Simplifying 9(4x + 7) + -6(7x + 10) = -54 Reorder the terms: 9(7 + 4x) + -6(7x + 10) = -54 (7 * 9 + 4x * 9) + -6(7x + 10) = -54 (63 + 36x) + -6(7x + 10) = -54 Reorder the terms: 63 + 36x + -6(10 + 7x) = -54 63 + 36x + (10 * -6 + 7x * -6) = -54 63 + 36x + (-60 + -42x) = -54 Reorder the terms: 63 + -60 + 36x + -42x = -54 Combine like terms: 63 + -60 = 3 3 + 36x + -42x = -54 Combine like terms: 36x + -42x = -6x 3 + -6x = -54 Solving 3 + -6x = -54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -6x = -54 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = -54 + -3 -6x = -54 + -3 Combine like terms: -54 + -3 = -57 -6x = -57 Divide each side by '-6'. x = 9.5 Simplifying x = 9.5
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