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Simplifying 2(10x + -3) + 2(3x + 5) = 186 Reorder the terms: 2(-3 + 10x) + 2(3x + 5) = 186 (-3 * 2 + 10x * 2) + 2(3x + 5) = 186 (-6 + 20x) + 2(3x + 5) = 186 Reorder the terms: -6 + 20x + 2(5 + 3x) = 186 -6 + 20x + (5 * 2 + 3x * 2) = 186 -6 + 20x + (10 + 6x) = 186 Reorder the terms: -6 + 10 + 20x + 6x = 186 Combine like terms: -6 + 10 = 4 4 + 20x + 6x = 186 Combine like terms: 20x + 6x = 26x 4 + 26x = 186 Solving 4 + 26x = 186 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 26x = 186 + -4 Combine like terms: 4 + -4 = 0 0 + 26x = 186 + -4 26x = 186 + -4 Combine like terms: 186 + -4 = 182 26x = 182 Divide each side by '26'. x = 7 Simplifying x = 7
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