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Simplifying -5(x + 2) = -1(-5x + 1) + -1x Reorder the terms: -5(2 + x) = -1(-5x + 1) + -1x (2 * -5 + x * -5) = -1(-5x + 1) + -1x (-10 + -5x) = -1(-5x + 1) + -1x Reorder the terms: -10 + -5x = -1(1 + -5x) + -1x -10 + -5x = (1 * -1 + -5x * -1) + -1x -10 + -5x = (-1 + 5x) + -1x Combine like terms: 5x + -1x = 4x -10 + -5x = -1 + 4x Solving -10 + -5x = -1 + 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. -10 + -5x + -4x = -1 + 4x + -4x Combine like terms: -5x + -4x = -9x -10 + -9x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + -9x = -1 + 0 -10 + -9x = -1 Add '10' to each side of the equation. -10 + 10 + -9x = -1 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = -1 + 10 -9x = -1 + 10 Combine like terms: -1 + 10 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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