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Simplifying 2x + 4 = 5x + 1 + -7x Reorder the terms: 4 + 2x = 5x + 1 + -7x Reorder the terms: 4 + 2x = 1 + 5x + -7x Combine like terms: 5x + -7x = -2x 4 + 2x = 1 + -2x Solving 4 + 2x = 1 + -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. 4 + 2x + 2x = 1 + -2x + 2x Combine like terms: 2x + 2x = 4x 4 + 4x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 4x = 1 + 0 4 + 4x = 1 Add '-4' to each side of the equation. 4 + -4 + 4x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 1 + -4 4x = 1 + -4 Combine like terms: 1 + -4 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75
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