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Simplifying 3 + -5(x + 2) = -1(x + -1) Reorder the terms: 3 + -5(2 + x) = -1(x + -1) 3 + (2 * -5 + x * -5) = -1(x + -1) 3 + (-10 + -5x) = -1(x + -1) Combine like terms: 3 + -10 = -7 -7 + -5x = -1(x + -1) Reorder the terms: -7 + -5x = -1(-1 + x) -7 + -5x = (-1 * -1 + x * -1) -7 + -5x = (1 + -1x) Solving -7 + -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. -7 + -5x + x = 1 + -1x + x Combine like terms: -5x + x = -4x -7 + -4x = 1 + -1x + x Combine like terms: -1x + x = 0 -7 + -4x = 1 + 0 -7 + -4x = 1 Add '7' to each side of the equation. -7 + 7 + -4x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 1 + 7 -4x = 1 + 7 Combine like terms: 1 + 7 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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