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Simplifying 12(2x + -1(5 + 6)) = 3x + (42) Combine like terms: 5 + 6 = 11 12(2x + -1(11)) = 3x + (42) Multiply -1 * 11 12(2x + -11) = 3x + (42) Reorder the terms: 12(-11 + 2x) = 3x + (42) (-11 * 12 + 2x * 12) = 3x + (42) (-132 + 24x) = 3x + (42) -132 + 24x = 3x + 42 Reorder the terms: -132 + 24x = 42 + 3x Solving -132 + 24x = 42 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -132 + 24x + -3x = 42 + 3x + -3x Combine like terms: 24x + -3x = 21x -132 + 21x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 -132 + 21x = 42 + 0 -132 + 21x = 42 Add '132' to each side of the equation. -132 + 132 + 21x = 42 + 132 Combine like terms: -132 + 132 = 0 0 + 21x = 42 + 132 21x = 42 + 132 Combine like terms: 42 + 132 = 174 21x = 174 Divide each side by '21'. x = 8.285714286 Simplifying x = 8.285714286
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