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Simplifying -5x + -7 + 2(x + 1) = -4x + -6 Reorder the terms: -5x + -7 + 2(1 + x) = -4x + -6 -5x + -7 + (1 * 2 + x * 2) = -4x + -6 -5x + -7 + (2 + 2x) = -4x + -6 Reorder the terms: -7 + 2 + -5x + 2x = -4x + -6 Combine like terms: -7 + 2 = -5 -5 + -5x + 2x = -4x + -6 Combine like terms: -5x + 2x = -3x -5 + -3x = -4x + -6 Reorder the terms: -5 + -3x = -6 + -4x Solving -5 + -3x = -6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -5 + -3x + 4x = -6 + -4x + 4x Combine like terms: -3x + 4x = 1x -5 + 1x = -6 + -4x + 4x Combine like terms: -4x + 4x = 0 -5 + 1x = -6 + 0 -5 + 1x = -6 Add '5' to each side of the equation. -5 + 5 + 1x = -6 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -6 + 5 1x = -6 + 5 Combine like terms: -6 + 5 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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