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Simplifying 7x + 1 = -1x + 65 Reorder the terms: 1 + 7x = -1x + 65 Reorder the terms: 1 + 7x = 65 + -1x Solving 1 + 7x = 65 + -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. 1 + 7x + x = 65 + -1x + x Combine like terms: 7x + x = 8x 1 + 8x = 65 + -1x + x Combine like terms: -1x + x = 0 1 + 8x = 65 + 0 1 + 8x = 65 Add '-1' to each side of the equation. 1 + -1 + 8x = 65 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 65 + -1 8x = 65 + -1 Combine like terms: 65 + -1 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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