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Simplifying -1(x + -1) + -4(x + -5) = 66 Reorder the terms: -1(-1 + x) + -4(x + -5) = 66 (-1 * -1 + x * -1) + -4(x + -5) = 66 (1 + -1x) + -4(x + -5) = 66 Reorder the terms: 1 + -1x + -4(-5 + x) = 66 1 + -1x + (-5 * -4 + x * -4) = 66 1 + -1x + (20 + -4x) = 66 Reorder the terms: 1 + 20 + -1x + -4x = 66 Combine like terms: 1 + 20 = 21 21 + -1x + -4x = 66 Combine like terms: -1x + -4x = -5x 21 + -5x = 66 Solving 21 + -5x = 66 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -5x = 66 + -21 Combine like terms: 21 + -21 = 0 0 + -5x = 66 + -21 -5x = 66 + -21 Combine like terms: 66 + -21 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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