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Simplifying 4(3x + -2) = 5(7 + -9x) Reorder the terms: 4(-2 + 3x) = 5(7 + -9x) (-2 * 4 + 3x * 4) = 5(7 + -9x) (-8 + 12x) = 5(7 + -9x) -8 + 12x = (7 * 5 + -9x * 5) -8 + 12x = (35 + -45x) Solving -8 + 12x = 35 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. -8 + 12x + 45x = 35 + -45x + 45x Combine like terms: 12x + 45x = 57x -8 + 57x = 35 + -45x + 45x Combine like terms: -45x + 45x = 0 -8 + 57x = 35 + 0 -8 + 57x = 35 Add '8' to each side of the equation. -8 + 8 + 57x = 35 + 8 Combine like terms: -8 + 8 = 0 0 + 57x = 35 + 8 57x = 35 + 8 Combine like terms: 35 + 8 = 43 57x = 43 Divide each side by '57'. x = 0.7543859649 Simplifying x = 0.7543859649
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