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Simplifying (6x + -9) + -1(3x + 8) = 4(x + -11) Reorder the terms: (-9 + 6x) + -1(3x + 8) = 4(x + -11) Remove parenthesis around (-9 + 6x) -9 + 6x + -1(3x + 8) = 4(x + -11) Reorder the terms: -9 + 6x + -1(8 + 3x) = 4(x + -11) -9 + 6x + (8 * -1 + 3x * -1) = 4(x + -11) -9 + 6x + (-8 + -3x) = 4(x + -11) Reorder the terms: -9 + -8 + 6x + -3x = 4(x + -11) Combine like terms: -9 + -8 = -17 -17 + 6x + -3x = 4(x + -11) Combine like terms: 6x + -3x = 3x -17 + 3x = 4(x + -11) Reorder the terms: -17 + 3x = 4(-11 + x) -17 + 3x = (-11 * 4 + x * 4) -17 + 3x = (-44 + 4x) Solving -17 + 3x = -44 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -17 + 3x + -4x = -44 + 4x + -4x Combine like terms: 3x + -4x = -1x -17 + -1x = -44 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 + -1x = -44 + 0 -17 + -1x = -44 Add '17' to each side of the equation. -17 + 17 + -1x = -44 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = -44 + 17 -1x = -44 + 17 Combine like terms: -44 + 17 = -27 -1x = -27 Divide each side by '-1'. x = 27 Simplifying x = 27
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