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Simplifying 3 + 4(x + -5) = 9 + -9(x + -6) Reorder the terms: 3 + 4(-5 + x) = 9 + -9(x + -6) 3 + (-5 * 4 + x * 4) = 9 + -9(x + -6) 3 + (-20 + 4x) = 9 + -9(x + -6) Combine like terms: 3 + -20 = -17 -17 + 4x = 9 + -9(x + -6) Reorder the terms: -17 + 4x = 9 + -9(-6 + x) -17 + 4x = 9 + (-6 * -9 + x * -9) -17 + 4x = 9 + (54 + -9x) Combine like terms: 9 + 54 = 63 -17 + 4x = 63 + -9x Solving -17 + 4x = 63 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -17 + 4x + 9x = 63 + -9x + 9x Combine like terms: 4x + 9x = 13x -17 + 13x = 63 + -9x + 9x Combine like terms: -9x + 9x = 0 -17 + 13x = 63 + 0 -17 + 13x = 63 Add '17' to each side of the equation. -17 + 17 + 13x = 63 + 17 Combine like terms: -17 + 17 = 0 0 + 13x = 63 + 17 13x = 63 + 17 Combine like terms: 63 + 17 = 80 13x = 80 Divide each side by '13'. x = 6.153846154 Simplifying x = 6.153846154
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