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Simplifying 8x + 6(7x + 4) = -1x + 24 Reorder the terms: 8x + 6(4 + 7x) = -1x + 24 8x + (4 * 6 + 7x * 6) = -1x + 24 8x + (24 + 42x) = -1x + 24 Reorder the terms: 24 + 8x + 42x = -1x + 24 Combine like terms: 8x + 42x = 50x 24 + 50x = -1x + 24 Reorder the terms: 24 + 50x = 24 + -1x Add '-24' to each side of the equation. 24 + -24 + 50x = 24 + -24 + -1x Combine like terms: 24 + -24 = 0 0 + 50x = 24 + -24 + -1x 50x = 24 + -24 + -1x Combine like terms: 24 + -24 = 0 50x = 0 + -1x 50x = -1x Solving 50x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 50x + x = -1x + x Combine like terms: 50x + x = 51x 51x = -1x + x Combine like terms: -1x + x = 0 51x = 0 Divide each side by '51'. x = 0 Simplifying x = 0
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