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Simplifying 7x + -2(x + -1) = -3x + 7x + 7 Reorder the terms: 7x + -2(-1 + x) = -3x + 7x + 7 7x + (-1 * -2 + x * -2) = -3x + 7x + 7 7x + (2 + -2x) = -3x + 7x + 7 Reorder the terms: 2 + 7x + -2x = -3x + 7x + 7 Combine like terms: 7x + -2x = 5x 2 + 5x = -3x + 7x + 7 Reorder the terms: 2 + 5x = 7 + -3x + 7x Combine like terms: -3x + 7x = 4x 2 + 5x = 7 + 4x Solving 2 + 5x = 7 + 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 = 7 + 4x + -4x Combine like terms: 5x + -4x = 1x 2 + 1x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 1x = 7 + 0 2 + 1x = 7 Add '-2' to each side of the equation. 2 + -2 + 1x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 7 + -2 1x = 7 + -2 Combine like terms: 7 + -2 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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