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