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Simplifying 7(4 + -5x + -3x) + 6(7x + 6) = 8 Combine like terms: -5x + -3x = -8x 7(4 + -8x) + 6(7x + 6) = 8 (4 * 7 + -8x * 7) + 6(7x + 6) = 8 (28 + -56x) + 6(7x + 6) = 8 Reorder the terms: 28 + -56x + 6(6 + 7x) = 8 28 + -56x + (6 * 6 + 7x * 6) = 8 28 + -56x + (36 + 42x) = 8 Reorder the terms: 28 + 36 + -56x + 42x = 8 Combine like terms: 28 + 36 = 64 64 + -56x + 42x = 8 Combine like terms: -56x + 42x = -14x 64 + -14x = 8 Solving 64 + -14x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + -14x = 8 + -64 Combine like terms: 64 + -64 = 0 0 + -14x = 8 + -64 -14x = 8 + -64 Combine like terms: 8 + -64 = -56 -14x = -56 Divide each side by '-14'. x = 4 Simplifying x = 4
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