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Simplifying -5x + 8 = -4x + 1 Reorder the terms: 8 + -5x = -4x + 1 Reorder the terms: 8 + -5x = 1 + -4x Solving 8 + -5x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + -5x + 4x = 1 + -4x + 4x Combine like terms: -5x + 4x = -1x 8 + -1x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + -1x = 1 + 0 8 + -1x = 1 Add '-8' to each side of the equation. 8 + -8 + -1x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 1 + -8 -1x = 1 + -8 Combine like terms: 1 + -8 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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