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Simplifying 20(27 + 1) + 15(9 + 1) + -35(3x + 1) = 0 Combine like terms: 27 + 1 = 28 20(28) + 15(9 + 1) + -35(3x + 1) = 0 Multiply 20 * 28 560 + 15(9 + 1) + -35(3x + 1) = 0 Combine like terms: 9 + 1 = 10 560 + 15(10) + -35(3x + 1) = 0 Multiply 15 * 10 560 + 150 + -35(3x + 1) = 0 Reorder the terms: 560 + 150 + -35(1 + 3x) = 0 560 + 150 + (1 * -35 + 3x * -35) = 0 560 + 150 + (-35 + -105x) = 0 Combine like terms: 560 + 150 = 710 710 + -35 + -105x = 0 Combine like terms: 710 + -35 = 675 675 + -105x = 0 Solving 675 + -105x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-675' to each side of the equation. 675 + -675 + -105x = 0 + -675 Combine like terms: 675 + -675 = 0 0 + -105x = 0 + -675 -105x = 0 + -675 Combine like terms: 0 + -675 = -675 -105x = -675 Divide each side by '-105'. x = 6.428571429 Simplifying x = 6.428571429
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