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Simplifying 7x + 2 = 8x + -5 Reorder the terms: 2 + 7x = 8x + -5 Reorder the terms: 2 + 7x = -5 + 8x Solving 2 + 7x = -5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + 7x + -8x = -5 + 8x + -8x Combine like terms: 7x + -8x = -1x 2 + -1x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -1x = -5 + 0 2 + -1x = -5 Add '-2' to each side of the equation. 2 + -2 + -1x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = -5 + -2 -1x = -5 + -2 Combine like terms: -5 + -2 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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