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Simplifying 5(1 + 4x) = 3(3 + 10x) (1 * 5 + 4x * 5) = 3(3 + 10x) (5 + 20x) = 3(3 + 10x) 5 + 20x = (3 * 3 + 10x * 3) 5 + 20x = (9 + 30x) Solving 5 + 20x = 9 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 5 + 20x + -30x = 9 + 30x + -30x Combine like terms: 20x + -30x = -10x 5 + -10x = 9 + 30x + -30x Combine like terms: 30x + -30x = 0 5 + -10x = 9 + 0 5 + -10x = 9 Add '-5' to each side of the equation. 5 + -5 + -10x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -10x = 9 + -5 -10x = 9 + -5 Combine like terms: 9 + -5 = 4 -10x = 4 Divide each side by '-10'. x = -0.4 Simplifying x = -0.4
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