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Simplifying 7x + -2(x + -1) = 3x + -8 + x + 10 Reorder the terms: 7x + -2(-1 + x) = 3x + -8 + x + 10 7x + (-1 * -2 + x * -2) = 3x + -8 + x + 10 7x + (2 + -2x) = 3x + -8 + x + 10 Reorder the terms: 2 + 7x + -2x = 3x + -8 + x + 10 Combine like terms: 7x + -2x = 5x 2 + 5x = 3x + -8 + x + 10 Reorder the terms: 2 + 5x = -8 + 10 + 3x + x Combine like terms: -8 + 10 = 2 2 + 5x = 2 + 3x + x Combine like terms: 3x + x = 4x 2 + 5x = 2 + 4x Add '-2' to each side of the equation. 2 + -2 + 5x = 2 + -2 + 4x Combine like terms: 2 + -2 = 0 0 + 5x = 2 + -2 + 4x 5x = 2 + -2 + 4x Combine like terms: 2 + -2 = 0 5x = 0 + 4x 5x = 4x Solving 5x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5x + -4x = 4x + -4x Combine like terms: 5x + -4x = 1x 1x = 4x + -4x Combine like terms: 4x + -4x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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