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Simplifying (4x + 2) + -1(12x + 8) + 2(5x + -3) = 6 + 11 Reorder the terms: (2 + 4x) + -1(12x + 8) + 2(5x + -3) = 6 + 11 Remove parenthesis around (2 + 4x) 2 + 4x + -1(12x + 8) + 2(5x + -3) = 6 + 11 Reorder the terms: 2 + 4x + -1(8 + 12x) + 2(5x + -3) = 6 + 11 2 + 4x + (8 * -1 + 12x * -1) + 2(5x + -3) = 6 + 11 2 + 4x + (-8 + -12x) + 2(5x + -3) = 6 + 11 Reorder the terms: 2 + 4x + -8 + -12x + 2(-3 + 5x) = 6 + 11 2 + 4x + -8 + -12x + (-3 * 2 + 5x * 2) = 6 + 11 2 + 4x + -8 + -12x + (-6 + 10x) = 6 + 11 Reorder the terms: 2 + -8 + -6 + 4x + -12x + 10x = 6 + 11 Combine like terms: 2 + -8 = -6 -6 + -6 + 4x + -12x + 10x = 6 + 11 Combine like terms: -6 + -6 = -12 -12 + 4x + -12x + 10x = 6 + 11 Combine like terms: 4x + -12x = -8x -12 + -8x + 10x = 6 + 11 Combine like terms: -8x + 10x = 2x -12 + 2x = 6 + 11 Combine like terms: 6 + 11 = 17 -12 + 2x = 17 Solving -12 + 2x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 2x = 17 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 17 + 12 2x = 17 + 12 Combine like terms: 17 + 12 = 29 2x = 29 Divide each side by '2'. x = 14.5 Simplifying x = 14.5
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