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Simplifying 4(3 + -8x) + -2(9x + -3) = 68 (3 * 4 + -8x * 4) + -2(9x + -3) = 68 (12 + -32x) + -2(9x + -3) = 68 Reorder the terms: 12 + -32x + -2(-3 + 9x) = 68 12 + -32x + (-3 * -2 + 9x * -2) = 68 12 + -32x + (6 + -18x) = 68 Reorder the terms: 12 + 6 + -32x + -18x = 68 Combine like terms: 12 + 6 = 18 18 + -32x + -18x = 68 Combine like terms: -32x + -18x = -50x 18 + -50x = 68 Solving 18 + -50x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -50x = 68 + -18 Combine like terms: 18 + -18 = 0 0 + -50x = 68 + -18 -50x = 68 + -18 Combine like terms: 68 + -18 = 50 -50x = 50 Divide each side by '-50'. x = -1 Simplifying x = -1
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