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Simplifying 6(x + -2) = (5x + -11) + -21 Reorder the terms: 6(-2 + x) = (5x + -11) + -21 (-2 * 6 + x * 6) = (5x + -11) + -21 (-12 + 6x) = (5x + -11) + -21 Reorder the terms: -12 + 6x = (-11 + 5x) + -21 Remove parenthesis around (-11 + 5x) -12 + 6x = -11 + 5x + -21 Reorder the terms: -12 + 6x = -11 + -21 + 5x Combine like terms: -11 + -21 = -32 -12 + 6x = -32 + 5x Solving -12 + 6x = -32 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 6x + -5x = -32 + 5x + -5x Combine like terms: 6x + -5x = 1x -12 + 1x = -32 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 1x = -32 + 0 -12 + 1x = -32 Add '12' to each side of the equation. -12 + 12 + 1x = -32 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -32 + 12 1x = -32 + 12 Combine like terms: -32 + 12 = -20 1x = -20 Divide each side by '1'. x = -20 Simplifying x = -20
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