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Simplifying 2x + 2(x + -1) = 5x + 7 Reorder the terms: 2x + 2(-1 + x) = 5x + 7 2x + (-1 * 2 + x * 2) = 5x + 7 2x + (-2 + 2x) = 5x + 7 Reorder the terms: -2 + 2x + 2x = 5x + 7 Combine like terms: 2x + 2x = 4x -2 + 4x = 5x + 7 Reorder the terms: -2 + 4x = 7 + 5x Solving -2 + 4x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 4x + -5x = 7 + 5x + -5x Combine like terms: 4x + -5x = -1x -2 + -1x = 7 + 5x + -5x Combine like terms: 5x + -5x = 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 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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