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Simplifying 2x + -7x + 1 + 1 = -2x + 7x + 1 Reorder the terms: 1 + 1 + 2x + -7x = -2x + 7x + 1 Combine like terms: 1 + 1 = 2 2 + 2x + -7x = -2x + 7x + 1 Combine like terms: 2x + -7x = -5x 2 + -5x = -2x + 7x + 1 Reorder the terms: 2 + -5x = 1 + -2x + 7x Combine like terms: -2x + 7x = 5x 2 + -5x = 1 + 5x Solving 2 + -5x = 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. 2 + -5x + -5x = 1 + 5x + -5x Combine like terms: -5x + -5x = -10x 2 + -10x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -10x = 1 + 0 2 + -10x = 1 Add '-2' to each side of the equation. 2 + -2 + -10x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = 1 + -2 -10x = 1 + -2 Combine like terms: 1 + -2 = -1 -10x = -1 Divide each side by '-10'. x = 0.1 Simplifying x = 0.1
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