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Simplifying 2x + -1(5 + -1x) + -7 = x + -4x 2x + (5 * -1 + -1x * -1) + -7 = x + -4x 2x + (-5 + 1x) + -7 = x + -4x Reorder the terms: -5 + -7 + 2x + 1x = x + -4x Combine like terms: -5 + -7 = -12 -12 + 2x + 1x = x + -4x Combine like terms: 2x + 1x = 3x -12 + 3x = x + -4x Combine like terms: x + -4x = -3x -12 + 3x = -3x Solving -12 + 3x = -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. -12 + 3x + 3x = -3x + 3x Combine like terms: 3x + 3x = 6x -12 + 6x = -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 6x = 0 Add '12' to each side of the equation. -12 + 12 + 6x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 0 + 12 6x = 0 + 12 Combine like terms: 0 + 12 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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