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Simplifying 10(x + 3) = 5(x + 4) Reorder the terms: 10(3 + x) = 5(x + 4) (3 * 10 + x * 10) = 5(x + 4) (30 + 10x) = 5(x + 4) Reorder the terms: 30 + 10x = 5(4 + x) 30 + 10x = (4 * 5 + x * 5) 30 + 10x = (20 + 5x) Solving 30 + 10x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 30 + 10x + -5x = 20 + 5x + -5x Combine like terms: 10x + -5x = 5x 30 + 5x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + 5x = 20 + 0 30 + 5x = 20 Add '-30' to each side of the equation. 30 + -30 + 5x = 20 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = 20 + -30 5x = 20 + -30 Combine like terms: 20 + -30 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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