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Simplifying 6(x + -2) = 5(x + -11) + -21 Reorder the terms: 6(-2 + x) = 5(x + -11) + -21 (-2 * 6 + x * 6) = 5(x + -11) + -21 (-12 + 6x) = 5(x + -11) + -21 Reorder the terms: -12 + 6x = 5(-11 + x) + -21 -12 + 6x = (-11 * 5 + x * 5) + -21 -12 + 6x = (-55 + 5x) + -21 Reorder the terms: -12 + 6x = -55 + -21 + 5x Combine like terms: -55 + -21 = -76 -12 + 6x = -76 + 5x Solving -12 + 6x = -76 + 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 = -76 + 5x + -5x Combine like terms: 6x + -5x = 1x -12 + 1x = -76 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 1x = -76 + 0 -12 + 1x = -76 Add '12' to each side of the equation. -12 + 12 + 1x = -76 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -76 + 12 1x = -76 + 12 Combine like terms: -76 + 12 = -64 1x = -64 Divide each side by '1'. x = -64 Simplifying x = -64
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