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Simplifying -7(x + 1) = -2x + -5 Reorder the terms: -7(1 + x) = -2x + -5 (1 * -7 + x * -7) = -2x + -5 (-7 + -7x) = -2x + -5 Reorder the terms: -7 + -7x = -5 + -2x Solving -7 + -7x = -5 + -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. -7 + -7x + 2x = -5 + -2x + 2x Combine like terms: -7x + 2x = -5x -7 + -5x = -5 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + -5x = -5 + 0 -7 + -5x = -5 Add '7' to each side of the equation. -7 + 7 + -5x = -5 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = -5 + 7 -5x = -5 + 7 Combine like terms: -5 + 7 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4
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