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Simplifying 6x + -8 = 7(8 + -8x) + -2 Reorder the terms: -8 + 6x = 7(8 + -8x) + -2 -8 + 6x = (8 * 7 + -8x * 7) + -2 -8 + 6x = (56 + -56x) + -2 Reorder the terms: -8 + 6x = 56 + -2 + -56x Combine like terms: 56 + -2 = 54 -8 + 6x = 54 + -56x Solving -8 + 6x = 54 + -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. -8 + 6x + 56x = 54 + -56x + 56x Combine like terms: 6x + 56x = 62x -8 + 62x = 54 + -56x + 56x Combine like terms: -56x + 56x = 0 -8 + 62x = 54 + 0 -8 + 62x = 54 Add '8' to each side of the equation. -8 + 8 + 62x = 54 + 8 Combine like terms: -8 + 8 = 0 0 + 62x = 54 + 8 62x = 54 + 8 Combine like terms: 54 + 8 = 62 62x = 62 Divide each side by '62'. x = 1 Simplifying x = 1
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