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Simplifying 4(2x + -5) = 9 + -1(2 + -5x) Reorder the terms: 4(-5 + 2x) = 9 + -1(2 + -5x) (-5 * 4 + 2x * 4) = 9 + -1(2 + -5x) (-20 + 8x) = 9 + -1(2 + -5x) -20 + 8x = 9 + (2 * -1 + -5x * -1) -20 + 8x = 9 + (-2 + 5x) Combine like terms: 9 + -2 = 7 -20 + 8x = 7 + 5x Solving -20 + 8x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -20 + 8x + -5x = 7 + 5x + -5x Combine like terms: 8x + -5x = 3x -20 + 3x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + 3x = 7 + 0 -20 + 3x = 7 Add '20' to each side of the equation. -20 + 20 + 3x = 7 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 7 + 20 3x = 7 + 20 Combine like terms: 7 + 20 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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