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Simplifying 3(x + -11) + -5 = 24x + -206 Reorder the terms: 3(-11 + x) + -5 = 24x + -206 (-11 * 3 + x * 3) + -5 = 24x + -206 (-33 + 3x) + -5 = 24x + -206 Reorder the terms: -33 + -5 + 3x = 24x + -206 Combine like terms: -33 + -5 = -38 -38 + 3x = 24x + -206 Reorder the terms: -38 + 3x = -206 + 24x Solving -38 + 3x = -206 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -38 + 3x + -24x = -206 + 24x + -24x Combine like terms: 3x + -24x = -21x -38 + -21x = -206 + 24x + -24x Combine like terms: 24x + -24x = 0 -38 + -21x = -206 + 0 -38 + -21x = -206 Add '38' to each side of the equation. -38 + 38 + -21x = -206 + 38 Combine like terms: -38 + 38 = 0 0 + -21x = -206 + 38 -21x = -206 + 38 Combine like terms: -206 + 38 = -168 -21x = -168 Divide each side by '-21'. x = 8 Simplifying x = 8
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