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Simplifying -2 + 5x = 7(x + 1) + 1 Reorder the terms: -2 + 5x = 7(1 + x) + 1 -2 + 5x = (1 * 7 + x * 7) + 1 -2 + 5x = (7 + 7x) + 1 Reorder the terms: -2 + 5x = 7 + 1 + 7x Combine like terms: 7 + 1 = 8 -2 + 5x = 8 + 7x Solving -2 + 5x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 5x + -7x = 8 + 7x + -7x Combine like terms: 5x + -7x = -2x -2 + -2x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -2x = 8 + 0 -2 + -2x = 8 Add '2' to each side of the equation. -2 + 2 + -2x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 8 + 2 -2x = 8 + 2 Combine like terms: 8 + 2 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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