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Simplifying 3 + 4(9x + -5) = 2 + -9(4x + -7) Reorder the terms: 3 + 4(-5 + 9x) = 2 + -9(4x + -7) 3 + (-5 * 4 + 9x * 4) = 2 + -9(4x + -7) 3 + (-20 + 36x) = 2 + -9(4x + -7) Combine like terms: 3 + -20 = -17 -17 + 36x = 2 + -9(4x + -7) Reorder the terms: -17 + 36x = 2 + -9(-7 + 4x) -17 + 36x = 2 + (-7 * -9 + 4x * -9) -17 + 36x = 2 + (63 + -36x) Combine like terms: 2 + 63 = 65 -17 + 36x = 65 + -36x Solving -17 + 36x = 65 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -17 + 36x + 36x = 65 + -36x + 36x Combine like terms: 36x + 36x = 72x -17 + 72x = 65 + -36x + 36x Combine like terms: -36x + 36x = 0 -17 + 72x = 65 + 0 -17 + 72x = 65 Add '17' to each side of the equation. -17 + 17 + 72x = 65 + 17 Combine like terms: -17 + 17 = 0 0 + 72x = 65 + 17 72x = 65 + 17 Combine like terms: 65 + 17 = 82 72x = 82 Divide each side by '72'. x = 1.138888889 Simplifying x = 1.138888889
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