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Simplifying 9(1 + 4x) + 6(6x + -10) = 6 + 7x + 8 (1 * 9 + 4x * 9) + 6(6x + -10) = 6 + 7x + 8 (9 + 36x) + 6(6x + -10) = 6 + 7x + 8 Reorder the terms: 9 + 36x + 6(-10 + 6x) = 6 + 7x + 8 9 + 36x + (-10 * 6 + 6x * 6) = 6 + 7x + 8 9 + 36x + (-60 + 36x) = 6 + 7x + 8 Reorder the terms: 9 + -60 + 36x + 36x = 6 + 7x + 8 Combine like terms: 9 + -60 = -51 -51 + 36x + 36x = 6 + 7x + 8 Combine like terms: 36x + 36x = 72x -51 + 72x = 6 + 7x + 8 Reorder the terms: -51 + 72x = 6 + 8 + 7x Combine like terms: 6 + 8 = 14 -51 + 72x = 14 + 7x Solving -51 + 72x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -51 + 72x + -7x = 14 + 7x + -7x Combine like terms: 72x + -7x = 65x -51 + 65x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 -51 + 65x = 14 + 0 -51 + 65x = 14 Add '51' to each side of the equation. -51 + 51 + 65x = 14 + 51 Combine like terms: -51 + 51 = 0 0 + 65x = 14 + 51 65x = 14 + 51 Combine like terms: 14 + 51 = 65 65x = 65 Divide each side by '65'. x = 1 Simplifying x = 1
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