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Simplifying 4(10x + 5) = 4x + 9 Reorder the terms: 4(5 + 10x) = 4x + 9 (5 * 4 + 10x * 4) = 4x + 9 (20 + 40x) = 4x + 9 Reorder the terms: 20 + 40x = 9 + 4x Solving 20 + 40x = 9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + 40x + -4x = 9 + 4x + -4x Combine like terms: 40x + -4x = 36x 20 + 36x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 36x = 9 + 0 20 + 36x = 9 Add '-20' to each side of the equation. 20 + -20 + 36x = 9 + -20 Combine like terms: 20 + -20 = 0 0 + 36x = 9 + -20 36x = 9 + -20 Combine like terms: 9 + -20 = -11 36x = -11 Divide each side by '36'. x = -0.3055555556 Simplifying x = -0.3055555556
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