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Simplifying 7(6x + 8) + 8(12 + -1x) = 0 Reorder the terms: 7(8 + 6x) + 8(12 + -1x) = 0 (8 * 7 + 6x * 7) + 8(12 + -1x) = 0 (56 + 42x) + 8(12 + -1x) = 0 56 + 42x + (12 * 8 + -1x * 8) = 0 56 + 42x + (96 + -8x) = 0 Reorder the terms: 56 + 96 + 42x + -8x = 0 Combine like terms: 56 + 96 = 152 152 + 42x + -8x = 0 Combine like terms: 42x + -8x = 34x 152 + 34x = 0 Solving 152 + 34x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-152' to each side of the equation. 152 + -152 + 34x = 0 + -152 Combine like terms: 152 + -152 = 0 0 + 34x = 0 + -152 34x = 0 + -152 Combine like terms: 0 + -152 = -152 34x = -152 Divide each side by '34'. x = -4.470588235 Simplifying x = -4.470588235
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