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Simplifying -5(x + 6) + -2 = 6(x + 2) Reorder the terms: -5(6 + x) + -2 = 6(x + 2) (6 * -5 + x * -5) + -2 = 6(x + 2) (-30 + -5x) + -2 = 6(x + 2) Reorder the terms: -30 + -2 + -5x = 6(x + 2) Combine like terms: -30 + -2 = -32 -32 + -5x = 6(x + 2) Reorder the terms: -32 + -5x = 6(2 + x) -32 + -5x = (2 * 6 + x * 6) -32 + -5x = (12 + 6x) Solving -32 + -5x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -32 + -5x + -6x = 12 + 6x + -6x Combine like terms: -5x + -6x = -11x -32 + -11x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + -11x = 12 + 0 -32 + -11x = 12 Add '32' to each side of the equation. -32 + 32 + -11x = 12 + 32 Combine like terms: -32 + 32 = 0 0 + -11x = 12 + 32 -11x = 12 + 32 Combine like terms: 12 + 32 = 44 -11x = 44 Divide each side by '-11'. x = -4 Simplifying x = -4
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