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Simplifying 3(9x + 10) = 81(5x + -7) Reorder the terms: 3(10 + 9x) = 81(5x + -7) (10 * 3 + 9x * 3) = 81(5x + -7) (30 + 27x) = 81(5x + -7) Reorder the terms: 30 + 27x = 81(-7 + 5x) 30 + 27x = (-7 * 81 + 5x * 81) 30 + 27x = (-567 + 405x) Solving 30 + 27x = -567 + 405x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-405x' to each side of the equation. 30 + 27x + -405x = -567 + 405x + -405x Combine like terms: 27x + -405x = -378x 30 + -378x = -567 + 405x + -405x Combine like terms: 405x + -405x = 0 30 + -378x = -567 + 0 30 + -378x = -567 Add '-30' to each side of the equation. 30 + -30 + -378x = -567 + -30 Combine like terms: 30 + -30 = 0 0 + -378x = -567 + -30 -378x = -567 + -30 Combine like terms: -567 + -30 = -597 -378x = -597 Divide each side by '-378'. x = 1.579365079 Simplifying x = 1.579365079
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