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Simplifying 3 + -4(2x + -5) = 3x + -9 Reorder the terms: 3 + -4(-5 + 2x) = 3x + -9 3 + (-5 * -4 + 2x * -4) = 3x + -9 3 + (20 + -8x) = 3x + -9 Combine like terms: 3 + 20 = 23 23 + -8x = 3x + -9 Reorder the terms: 23 + -8x = -9 + 3x Solving 23 + -8x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 23 + -8x + -3x = -9 + 3x + -3x Combine like terms: -8x + -3x = -11x 23 + -11x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 23 + -11x = -9 + 0 23 + -11x = -9 Add '-23' to each side of the equation. 23 + -23 + -11x = -9 + -23 Combine like terms: 23 + -23 = 0 0 + -11x = -9 + -23 -11x = -9 + -23 Combine like terms: -9 + -23 = -32 -11x = -32 Divide each side by '-11'. x = 2.909090909 Simplifying x = 2.909090909
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