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Simplifying 6(7 + -9x) + -3(5 + 6x) = 675 (7 * 6 + -9x * 6) + -3(5 + 6x) = 675 (42 + -54x) + -3(5 + 6x) = 675 42 + -54x + (5 * -3 + 6x * -3) = 675 42 + -54x + (-15 + -18x) = 675 Reorder the terms: 42 + -15 + -54x + -18x = 675 Combine like terms: 42 + -15 = 27 27 + -54x + -18x = 675 Combine like terms: -54x + -18x = -72x 27 + -72x = 675 Solving 27 + -72x = 675 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -72x = 675 + -27 Combine like terms: 27 + -27 = 0 0 + -72x = 675 + -27 -72x = 675 + -27 Combine like terms: 675 + -27 = 648 -72x = 648 Divide each side by '-72'. x = -9 Simplifying x = -9
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