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Simplifying 6(x + -2) = 48 + -6x Reorder the terms: 6(-2 + x) = 48 + -6x (-2 * 6 + x * 6) = 48 + -6x (-12 + 6x) = 48 + -6x Solving -12 + 6x = 48 + -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. -12 + 6x + 6x = 48 + -6x + 6x Combine like terms: 6x + 6x = 12x -12 + 12x = 48 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 12x = 48 + 0 -12 + 12x = 48 Add '12' to each side of the equation. -12 + 12 + 12x = 48 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 48 + 12 12x = 48 + 12 Combine like terms: 48 + 12 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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