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Simplifying -5 + -1(x + 5) = -4(x + -2) Reorder the terms: -5 + -1(5 + x) = -4(x + -2) -5 + (5 * -1 + x * -1) = -4(x + -2) -5 + (-5 + -1x) = -4(x + -2) Combine like terms: -5 + -5 = -10 -10 + -1x = -4(x + -2) Reorder the terms: -10 + -1x = -4(-2 + x) -10 + -1x = (-2 * -4 + x * -4) -10 + -1x = (8 + -4x) Solving -10 + -1x = 8 + -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 + -1x + 4x = 8 + -4x + 4x Combine like terms: -1x + 4x = 3x -10 + 3x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + 3x = 8 + 0 -10 + 3x = 8 Add '10' to each side of the equation. -10 + 10 + 3x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 8 + 10 3x = 8 + 10 Combine like terms: 8 + 10 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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