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Simplifying 10(x + 3) + 5 = 3x + 70 Reorder the terms: 10(3 + x) + 5 = 3x + 70 (3 * 10 + x * 10) + 5 = 3x + 70 (30 + 10x) + 5 = 3x + 70 Reorder the terms: 30 + 5 + 10x = 3x + 70 Combine like terms: 30 + 5 = 35 35 + 10x = 3x + 70 Reorder the terms: 35 + 10x = 70 + 3x Solving 35 + 10x = 70 + 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. 35 + 10x + -3x = 70 + 3x + -3x Combine like terms: 10x + -3x = 7x 35 + 7x = 70 + 3x + -3x Combine like terms: 3x + -3x = 0 35 + 7x = 70 + 0 35 + 7x = 70 Add '-35' to each side of the equation. 35 + -35 + 7x = 70 + -35 Combine like terms: 35 + -35 = 0 0 + 7x = 70 + -35 7x = 70 + -35 Combine like terms: 70 + -35 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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