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Simplifying 2 + 9(7x + 2) = 6 + -7(9x + -5) Reorder the terms: 2 + 9(2 + 7x) = 6 + -7(9x + -5) 2 + (2 * 9 + 7x * 9) = 6 + -7(9x + -5) 2 + (18 + 63x) = 6 + -7(9x + -5) Combine like terms: 2 + 18 = 20 20 + 63x = 6 + -7(9x + -5) Reorder the terms: 20 + 63x = 6 + -7(-5 + 9x) 20 + 63x = 6 + (-5 * -7 + 9x * -7) 20 + 63x = 6 + (35 + -63x) Combine like terms: 6 + 35 = 41 20 + 63x = 41 + -63x Solving 20 + 63x = 41 + -63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63x' to each side of the equation. 20 + 63x + 63x = 41 + -63x + 63x Combine like terms: 63x + 63x = 126x 20 + 126x = 41 + -63x + 63x Combine like terms: -63x + 63x = 0 20 + 126x = 41 + 0 20 + 126x = 41 Add '-20' to each side of the equation. 20 + -20 + 126x = 41 + -20 Combine like terms: 20 + -20 = 0 0 + 126x = 41 + -20 126x = 41 + -20 Combine like terms: 41 + -20 = 21 126x = 21 Divide each side by '126'. x = 0.1666666667 Simplifying x = 0.1666666667
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