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Simplifying (4x + 2) + -1(12x + 8) + -1(5 + -3) = 6 + 11 Reorder the terms: (2 + 4x) + -1(12x + 8) + -1(5 + -3) = 6 + 11 Remove parenthesis around (2 + 4x) 2 + 4x + -1(12x + 8) + -1(5 + -3) = 6 + 11 Reorder the terms: 2 + 4x + -1(8 + 12x) + -1(5 + -3) = 6 + 11 2 + 4x + (8 * -1 + 12x * -1) + -1(5 + -3) = 6 + 11 2 + 4x + (-8 + -12x) + -1(5 + -3) = 6 + 11 Combine like terms: 5 + -3 = 2 2 + 4x + -8 + -12x + -1(2) = 6 + 11 Multiply -1 * 2 2 + 4x + -8 + -12x + -2 = 6 + 11 Reorder the terms: 2 + -8 + -2 + 4x + -12x = 6 + 11 Combine like terms: 2 + -8 = -6 -6 + -2 + 4x + -12x = 6 + 11 Combine like terms: -6 + -2 = -8 -8 + 4x + -12x = 6 + 11 Combine like terms: 4x + -12x = -8x -8 + -8x = 6 + 11 Combine like terms: 6 + 11 = 17 -8 + -8x = 17 Solving -8 + -8x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -8x = 17 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = 17 + 8 -8x = 17 + 8 Combine like terms: 17 + 8 = 25 -8x = 25 Divide each side by '-8'. x = -3.125 Simplifying x = -3.125
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