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Simplifying -7(x + 2) + 2x = 1 + -2x Reorder the terms: -7(2 + x) + 2x = 1 + -2x (2 * -7 + x * -7) + 2x = 1 + -2x (-14 + -7x) + 2x = 1 + -2x Combine like terms: -7x + 2x = -5x -14 + -5x = 1 + -2x Solving -14 + -5x = 1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -14 + -5x + 2x = 1 + -2x + 2x Combine like terms: -5x + 2x = -3x -14 + -3x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 -14 + -3x = 1 + 0 -14 + -3x = 1 Add '14' to each side of the equation. -14 + 14 + -3x = 1 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = 1 + 14 -3x = 1 + 14 Combine like terms: 1 + 14 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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