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Simplifying 6(7x + 20) + -8(x + 1) = 0 Reorder the terms: 6(20 + 7x) + -8(x + 1) = 0 (20 * 6 + 7x * 6) + -8(x + 1) = 0 (120 + 42x) + -8(x + 1) = 0 Reorder the terms: 120 + 42x + -8(1 + x) = 0 120 + 42x + (1 * -8 + x * -8) = 0 120 + 42x + (-8 + -8x) = 0 Reorder the terms: 120 + -8 + 42x + -8x = 0 Combine like terms: 120 + -8 = 112 112 + 42x + -8x = 0 Combine like terms: 42x + -8x = 34x 112 + 34x = 0 Solving 112 + 34x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112' to each side of the equation. 112 + -112 + 34x = 0 + -112 Combine like terms: 112 + -112 = 0 0 + 34x = 0 + -112 34x = 0 + -112 Combine like terms: 0 + -112 = -112 34x = -112 Divide each side by '34'. x = -3.294117647 Simplifying x = -3.294117647
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