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Simplifying 10(x + 5) = 3x + 7 Reorder the terms: 10(5 + x) = 3x + 7 (5 * 10 + x * 10) = 3x + 7 (50 + 10x) = 3x + 7 Reorder the terms: 50 + 10x = 7 + 3x Solving 50 + 10x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 50 + 10x + -3x = 7 + 3x + -3x Combine like terms: 10x + -3x = 7x 50 + 7x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 50 + 7x = 7 + 0 50 + 7x = 7 Add '-50' to each side of the equation. 50 + -50 + 7x = 7 + -50 Combine like terms: 50 + -50 = 0 0 + 7x = 7 + -50 7x = 7 + -50 Combine like terms: 7 + -50 = -43 7x = -43 Divide each side by '7'. x = -6.142857143 Simplifying x = -6.142857143
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