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Simplifying -1x + 5 = -4x + 7 Reorder the terms: 5 + -1x = -4x + 7 Reorder the terms: 5 + -1x = 7 + -4x Solving 5 + -1x = 7 + -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. 5 + -1x + 4x = 7 + -4x + 4x Combine like terms: -1x + 4x = 3x 5 + 3x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 3x = 7 + 0 5 + 3x = 7 Add '-5' to each side of the equation. 5 + -5 + 3x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 7 + -5 3x = 7 + -5 Combine like terms: 7 + -5 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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