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Simplifying 2(10x + 5) = 7(8 + -2x) Reorder the terms: 2(5 + 10x) = 7(8 + -2x) (5 * 2 + 10x * 2) = 7(8 + -2x) (10 + 20x) = 7(8 + -2x) 10 + 20x = (8 * 7 + -2x * 7) 10 + 20x = (56 + -14x) Solving 10 + 20x = 56 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 10 + 20x + 14x = 56 + -14x + 14x Combine like terms: 20x + 14x = 34x 10 + 34x = 56 + -14x + 14x Combine like terms: -14x + 14x = 0 10 + 34x = 56 + 0 10 + 34x = 56 Add '-10' to each side of the equation. 10 + -10 + 34x = 56 + -10 Combine like terms: 10 + -10 = 0 0 + 34x = 56 + -10 34x = 56 + -10 Combine like terms: 56 + -10 = 46 34x = 46 Divide each side by '34'. x = 1.352941176 Simplifying x = 1.352941176
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