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Simplifying 6x + -384 = 8(7x + 1) Reorder the terms: -384 + 6x = 8(7x + 1) Reorder the terms: -384 + 6x = 8(1 + 7x) -384 + 6x = (1 * 8 + 7x * 8) -384 + 6x = (8 + 56x) Solving -384 + 6x = 8 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. -384 + 6x + -56x = 8 + 56x + -56x Combine like terms: 6x + -56x = -50x -384 + -50x = 8 + 56x + -56x Combine like terms: 56x + -56x = 0 -384 + -50x = 8 + 0 -384 + -50x = 8 Add '384' to each side of the equation. -384 + 384 + -50x = 8 + 384 Combine like terms: -384 + 384 = 0 0 + -50x = 8 + 384 -50x = 8 + 384 Combine like terms: 8 + 384 = 392 -50x = 392 Divide each side by '-50'. x = -7.84 Simplifying x = -7.84
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