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Simplifying 2 + x + -1(5 + 2x) + -7 = -2x + 7 2 + x + (5 * -1 + 2x * -1) + -7 = -2x + 7 2 + x + (-5 + -2x) + -7 = -2x + 7 Reorder the terms: 2 + -5 + -7 + x + -2x = -2x + 7 Combine like terms: 2 + -5 = -3 -3 + -7 + x + -2x = -2x + 7 Combine like terms: -3 + -7 = -10 -10 + x + -2x = -2x + 7 Combine like terms: x + -2x = -1x -10 + -1x = -2x + 7 Reorder the terms: -10 + -1x = 7 + -2x Solving -10 + -1x = 7 + -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. -10 + -1x + 2x = 7 + -2x + 2x Combine like terms: -1x + 2x = 1x -10 + 1x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 1x = 7 + 0 -10 + 1x = 7 Add '10' to each side of the equation. -10 + 10 + 1x = 7 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 7 + 10 1x = 7 + 10 Combine like terms: 7 + 10 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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