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Simplifying 6(x + -2) = 76 + -5x Reorder the terms: 6(-2 + x) = 76 + -5x (-2 * 6 + x * 6) = 76 + -5x (-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 = 11x -12 + 11x = 76 + -5x + 5x Combine like terms: -5x + 5x = 0 -12 + 11x = 76 + 0 -12 + 11x = 76 Add '12' to each side of the equation. -12 + 12 + 11x = 76 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 76 + 12 11x = 76 + 12 Combine like terms: 76 + 12 = 88 11x = 88 Divide each side by '11'. x = 8 Simplifying x = 8
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