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Simplifying 4(2 + -5x) = 40 + -3(1 + -3x) (2 * 4 + -5x * 4) = 40 + -3(1 + -3x) (8 + -20x) = 40 + -3(1 + -3x) 8 + -20x = 40 + (1 * -3 + -3x * -3) 8 + -20x = 40 + (-3 + 9x) Combine like terms: 40 + -3 = 37 8 + -20x = 37 + 9x Solving 8 + -20x = 37 + 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. 8 + -20x + -9x = 37 + 9x + -9x Combine like terms: -20x + -9x = -29x 8 + -29x = 37 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + -29x = 37 + 0 8 + -29x = 37 Add '-8' to each side of the equation. 8 + -8 + -29x = 37 + -8 Combine like terms: 8 + -8 = 0 0 + -29x = 37 + -8 -29x = 37 + -8 Combine like terms: 37 + -8 = 29 -29x = 29 Divide each side by '-29'. x = -1 Simplifying x = -1
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