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Simplifying 2x + -7(1 + -1x) = 4(x + 2) 2x + (1 * -7 + -1x * -7) = 4(x + 2) 2x + (-7 + 7x) = 4(x + 2) Reorder the terms: -7 + 2x + 7x = 4(x + 2) Combine like terms: 2x + 7x = 9x -7 + 9x = 4(x + 2) Reorder the terms: -7 + 9x = 4(2 + x) -7 + 9x = (2 * 4 + x * 4) -7 + 9x = (8 + 4x) Solving -7 + 9x = 8 + 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. -7 + 9x + -4x = 8 + 4x + -4x Combine like terms: 9x + -4x = 5x -7 + 5x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 5x = 8 + 0 -7 + 5x = 8 Add '7' to each side of the equation. -7 + 7 + 5x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 8 + 7 5x = 8 + 7 Combine like terms: 8 + 7 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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