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Simplifying (4x + 2) + -1(12 + 8) + 2(5x + -3) = 6 + 11 Reorder the terms: (2 + 4x) + -1(12 + 8) + 2(5x + -3) = 6 + 11 Remove parenthesis around (2 + 4x) 2 + 4x + -1(12 + 8) + 2(5x + -3) = 6 + 11 Combine like terms: 12 + 8 = 20 2 + 4x + -1(20) + 2(5x + -3) = 6 + 11 Multiply -1 * 20 2 + 4x + -20 + 2(5x + -3) = 6 + 11 Reorder the terms: 2 + 4x + -20 + 2(-3 + 5x) = 6 + 11 2 + 4x + -20 + (-3 * 2 + 5x * 2) = 6 + 11 2 + 4x + -20 + (-6 + 10x) = 6 + 11 Reorder the terms: 2 + -20 + -6 + 4x + 10x = 6 + 11 Combine like terms: 2 + -20 = -18 -18 + -6 + 4x + 10x = 6 + 11 Combine like terms: -18 + -6 = -24 -24 + 4x + 10x = 6 + 11 Combine like terms: 4x + 10x = 14x -24 + 14x = 6 + 11 Combine like terms: 6 + 11 = 17 -24 + 14x = 17 Solving -24 + 14x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 14x = 17 + 24 Combine like terms: -24 + 24 = 0 0 + 14x = 17 + 24 14x = 17 + 24 Combine like terms: 17 + 24 = 41 14x = 41 Divide each side by '14'. x = 2.928571429 Simplifying x = 2.928571429
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