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Simplifying 10(3 + x) = 5x + 1 (3 * 10 + x * 10) = 5x + 1 (30 + 10x) = 5x + 1 Reorder the terms: 30 + 10x = 1 + 5x Solving 30 + 10x = 1 + 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 = 1 + 5x + -5x Combine like terms: 10x + -5x = 5x 30 + 5x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + 5x = 1 + 0 30 + 5x = 1 Add '-30' to each side of the equation. 30 + -30 + 5x = 1 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = 1 + -30 5x = 1 + -30 Combine like terms: 1 + -30 = -29 5x = -29 Divide each side by '5'. x = -5.8 Simplifying x = -5.8
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