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Simplifying -5x + -10 = 2 + -1(x + 1) Reorder the terms: -10 + -5x = 2 + -1(x + 1) Reorder the terms: -10 + -5x = 2 + -1(1 + x) -10 + -5x = 2 + (1 * -1 + x * -1) -10 + -5x = 2 + (-1 + -1x) Combine like terms: 2 + -1 = 1 -10 + -5x = 1 + -1x Solving -10 + -5x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + -5x + x = 1 + -1x + x Combine like terms: -5x + x = -4x -10 + -4x = 1 + -1x + x Combine like terms: -1x + x = 0 -10 + -4x = 1 + 0 -10 + -4x = 1 Add '10' to each side of the equation. -10 + 10 + -4x = 1 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = 1 + 10 -4x = 1 + 10 Combine like terms: 1 + 10 = 11 -4x = 11 Divide each side by '-4'. x = -2.75 Simplifying x = -2.75
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