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Simplifying 6(x + -2) = 78 + -4x Reorder the terms: 6(-2 + x) = 78 + -4x (-2 * 6 + x * 6) = 78 + -4x (-12 + 6x) = 78 + -4x Solving -12 + 6x = 78 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -12 + 6x + 4x = 78 + -4x + 4x Combine like terms: 6x + 4x = 10x -12 + 10x = 78 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 10x = 78 + 0 -12 + 10x = 78 Add '12' to each side of the equation. -12 + 12 + 10x = 78 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 78 + 12 10x = 78 + 12 Combine like terms: 78 + 12 = 90 10x = 90 Divide each side by '10'. x = 9 Simplifying x = 9
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