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Simplifying 5(9x + 4) = 7x Reorder the terms: 5(4 + 9x) = 7x (4 * 5 + 9x * 5) = 7x (20 + 45x) = 7x Solving 20 + 45x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 20 + 45x + -7x = 7x + -7x Combine like terms: 45x + -7x = 38x 20 + 38x = 7x + -7x Combine like terms: 7x + -7x = 0 20 + 38x = 0 Add '-20' to each side of the equation. 20 + -20 + 38x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 38x = 0 + -20 38x = 0 + -20 Combine like terms: 0 + -20 = -20 38x = -20 Divide each side by '38'. x = -0.5263157895 Simplifying x = -0.5263157895
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