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Simplifying 1 + -7x + 8x = 2x + -5 Combine like terms: -7x + 8x = 1x 1 + 1x = 2x + -5 Reorder the terms: 1 + 1x = -5 + 2x Solving 1 + 1x = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + 1x + -2x = -5 + 2x + -2x Combine like terms: 1x + -2x = -1x 1 + -1x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -1x = -5 + 0 1 + -1x = -5 Add '-1' to each side of the equation. 1 + -1 + -1x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -5 + -1 -1x = -5 + -1 Combine like terms: -5 + -1 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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