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Simplifying 7x + -2(1 + x) = 2(2x + -1) + 1 7x + (1 * -2 + x * -2) = 2(2x + -1) + 1 7x + (-2 + -2x) = 2(2x + -1) + 1 Reorder the terms: -2 + 7x + -2x = 2(2x + -1) + 1 Combine like terms: 7x + -2x = 5x -2 + 5x = 2(2x + -1) + 1 Reorder the terms: -2 + 5x = 2(-1 + 2x) + 1 -2 + 5x = (-1 * 2 + 2x * 2) + 1 -2 + 5x = (-2 + 4x) + 1 Reorder the terms: -2 + 5x = -2 + 1 + 4x Combine like terms: -2 + 1 = -1 -2 + 5x = -1 + 4x Solving -2 + 5x = -1 + 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. -2 + 5x + -4x = -1 + 4x + -4x Combine like terms: 5x + -4x = 1x -2 + 1x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 1x = -1 + 0 -2 + 1x = -1 Add '2' to each side of the equation. -2 + 2 + 1x = -1 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = -1 + 2 1x = -1 + 2 Combine like terms: -1 + 2 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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