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Simplifying 1 + 2x + 5x = x + 7 + -4x + 4 Combine like terms: 2x + 5x = 7x 1 + 7x = x + 7 + -4x + 4 Reorder the terms: 1 + 7x = 7 + 4 + x + -4x Combine like terms: 7 + 4 = 11 1 + 7x = 11 + x + -4x Combine like terms: x + -4x = -3x 1 + 7x = 11 + -3x Solving 1 + 7x = 11 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1 + 7x + 3x = 11 + -3x + 3x Combine like terms: 7x + 3x = 10x 1 + 10x = 11 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 10x = 11 + 0 1 + 10x = 11 Add '-1' to each side of the equation. 1 + -1 + 10x = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 11 + -1 10x = 11 + -1 Combine like terms: 11 + -1 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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