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Simplifying 6(5x + 1) + 6(8 + -1x) = 0 Reorder the terms: 6(1 + 5x) + 6(8 + -1x) = 0 (1 * 6 + 5x * 6) + 6(8 + -1x) = 0 (6 + 30x) + 6(8 + -1x) = 0 6 + 30x + (8 * 6 + -1x * 6) = 0 6 + 30x + (48 + -6x) = 0 Reorder the terms: 6 + 48 + 30x + -6x = 0 Combine like terms: 6 + 48 = 54 54 + 30x + -6x = 0 Combine like terms: 30x + -6x = 24x 54 + 24x = 0 Solving 54 + 24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 24x = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 24x = 0 + -54 24x = 0 + -54 Combine like terms: 0 + -54 = -54 24x = -54 Divide each side by '24'. x = -2.25 Simplifying x = -2.25
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