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Simplifying -6(x + -2) + 4(8x + -12) = 68 Reorder the terms: -6(-2 + x) + 4(8x + -12) = 68 (-2 * -6 + x * -6) + 4(8x + -12) = 68 (12 + -6x) + 4(8x + -12) = 68 Reorder the terms: 12 + -6x + 4(-12 + 8x) = 68 12 + -6x + (-12 * 4 + 8x * 4) = 68 12 + -6x + (-48 + 32x) = 68 Reorder the terms: 12 + -48 + -6x + 32x = 68 Combine like terms: 12 + -48 = -36 -36 + -6x + 32x = 68 Combine like terms: -6x + 32x = 26x -36 + 26x = 68 Solving -36 + 26x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 26x = 68 + 36 Combine like terms: -36 + 36 = 0 0 + 26x = 68 + 36 26x = 68 + 36 Combine like terms: 68 + 36 = 104 26x = 104 Divide each side by '26'. x = 4 Simplifying x = 4
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