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Simplifying -2x + -7 + -5(x + 1) = -4x + -4 Reorder the terms: -2x + -7 + -5(1 + x) = -4x + -4 -2x + -7 + (1 * -5 + x * -5) = -4x + -4 -2x + -7 + (-5 + -5x) = -4x + -4 Reorder the terms: -7 + -5 + -2x + -5x = -4x + -4 Combine like terms: -7 + -5 = -12 -12 + -2x + -5x = -4x + -4 Combine like terms: -2x + -5x = -7x -12 + -7x = -4x + -4 Reorder the terms: -12 + -7x = -4 + -4x Solving -12 + -7x = -4 + -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. -12 + -7x + 4x = -4 + -4x + 4x Combine like terms: -7x + 4x = -3x -12 + -3x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + -3x = -4 + 0 -12 + -3x = -4 Add '12' to each side of the equation. -12 + 12 + -3x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = -4 + 12 -3x = -4 + 12 Combine like terms: -4 + 12 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667
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