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Simplifying 6x + 5(4x + -2) = 8x + 21 Reorder the terms: 6x + 5(-2 + 4x) = 8x + 21 6x + (-2 * 5 + 4x * 5) = 8x + 21 6x + (-10 + 20x) = 8x + 21 Reorder the terms: -10 + 6x + 20x = 8x + 21 Combine like terms: 6x + 20x = 26x -10 + 26x = 8x + 21 Reorder the terms: -10 + 26x = 21 + 8x Solving -10 + 26x = 21 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -10 + 26x + -8x = 21 + 8x + -8x Combine like terms: 26x + -8x = 18x -10 + 18x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + 18x = 21 + 0 -10 + 18x = 21 Add '10' to each side of the equation. -10 + 10 + 18x = 21 + 10 Combine like terms: -10 + 10 = 0 0 + 18x = 21 + 10 18x = 21 + 10 Combine like terms: 21 + 10 = 31 18x = 31 Divide each side by '18'. x = 1.722222222 Simplifying x = 1.722222222
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