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Simplifying 2x + 4 = 5x + 1 + -2 Reorder the terms: 4 + 2x = 5x + 1 + -2 Reorder the terms: 4 + 2x = 1 + -2 + 5x Combine like terms: 1 + -2 = -1 4 + 2x = -1 + 5x Solving 4 + 2x = -1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + 2x + -5x = -1 + 5x + -5x Combine like terms: 2x + -5x = -3x 4 + -3x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -3x = -1 + 0 4 + -3x = -1 Add '-4' to each side of the equation. 4 + -4 + -3x = -1 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -1 + -4 -3x = -1 + -4 Combine like terms: -1 + -4 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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