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Simplifying 4(2x + -5) = 3(7 + -9x) Reorder the terms: 4(-5 + 2x) = 3(7 + -9x) (-5 * 4 + 2x * 4) = 3(7 + -9x) (-20 + 8x) = 3(7 + -9x) -20 + 8x = (7 * 3 + -9x * 3) -20 + 8x = (21 + -27x) Solving -20 + 8x = 21 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -20 + 8x + 27x = 21 + -27x + 27x Combine like terms: 8x + 27x = 35x -20 + 35x = 21 + -27x + 27x Combine like terms: -27x + 27x = 0 -20 + 35x = 21 + 0 -20 + 35x = 21 Add '20' to each side of the equation. -20 + 20 + 35x = 21 + 20 Combine like terms: -20 + 20 = 0 0 + 35x = 21 + 20 35x = 21 + 20 Combine like terms: 21 + 20 = 41 35x = 41 Divide each side by '35'. x = 1.171428571 Simplifying x = 1.171428571
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