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Simplifying 4(3 + 10x) = 5(9x + 4) (3 * 4 + 10x * 4) = 5(9x + 4) (12 + 40x) = 5(9x + 4) Reorder the terms: 12 + 40x = 5(4 + 9x) 12 + 40x = (4 * 5 + 9x * 5) 12 + 40x = (20 + 45x) Solving 12 + 40x = 20 + 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. 12 + 40x + -45x = 20 + 45x + -45x Combine like terms: 40x + -45x = -5x 12 + -5x = 20 + 45x + -45x Combine like terms: 45x + -45x = 0 12 + -5x = 20 + 0 12 + -5x = 20 Add '-12' to each side of the equation. 12 + -12 + -5x = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 20 + -12 -5x = 20 + -12 Combine like terms: 20 + -12 = 8 -5x = 8 Divide each side by '-5'. x = -1.6 Simplifying x = -1.6
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