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Simplifying 2x + -1(x + 5) = 2 + x + -4x + -7 Reorder the terms: 2x + -1(5 + x) = 2 + x + -4x + -7 2x + (5 * -1 + x * -1) = 2 + x + -4x + -7 2x + (-5 + -1x) = 2 + x + -4x + -7 Reorder the terms: -5 + 2x + -1x = 2 + x + -4x + -7 Combine like terms: 2x + -1x = 1x -5 + 1x = 2 + x + -4x + -7 Reorder the terms: -5 + 1x = 2 + -7 + x + -4x Combine like terms: 2 + -7 = -5 -5 + 1x = -5 + x + -4x Combine like terms: x + -4x = -3x -5 + 1x = -5 + -3x Add '5' to each side of the equation. -5 + 5 + 1x = -5 + 5 + -3x Combine like terms: -5 + 5 = 0 0 + 1x = -5 + 5 + -3x 1x = -5 + 5 + -3x Combine like terms: -5 + 5 = 0 1x = 0 + -3x 1x = -3x Solving 1x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1x + 3x = -3x + 3x Combine like terms: 1x + 3x = 4x 4x = -3x + 3x Combine like terms: -3x + 3x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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