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