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Simplifying 10(3 + x) = 5(4x + 5) (3 * 10 + x * 10) = 5(4x + 5) (30 + 10x) = 5(4x + 5) Reorder the terms: 30 + 10x = 5(5 + 4x) 30 + 10x = (5 * 5 + 4x * 5) 30 + 10x = (25 + 20x) Solving 30 + 10x = 25 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 30 + 10x + -20x = 25 + 20x + -20x Combine like terms: 10x + -20x = -10x 30 + -10x = 25 + 20x + -20x Combine like terms: 20x + -20x = 0 30 + -10x = 25 + 0 30 + -10x = 25 Add '-30' to each side of the equation. 30 + -30 + -10x = 25 + -30 Combine like terms: 30 + -30 = 0 0 + -10x = 25 + -30 -10x = 25 + -30 Combine like terms: 25 + -30 = -5 -10x = -5 Divide each side by '-10'. x = 0.5 Simplifying x = 0.5
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