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Simplifying -6(x + -1) = -5(x + 2) Reorder the terms: -6(-1 + x) = -5(x + 2) (-1 * -6 + x * -6) = -5(x + 2) (6 + -6x) = -5(x + 2) Reorder the terms: 6 + -6x = -5(2 + x) 6 + -6x = (2 * -5 + x * -5) 6 + -6x = (-10 + -5x) Solving 6 + -6x = -10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + -6x + 5x = -10 + -5x + 5x Combine like terms: -6x + 5x = -1x 6 + -1x = -10 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + -1x = -10 + 0 6 + -1x = -10 Add '-6' to each side of the equation. 6 + -6 + -1x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -10 + -6 -1x = -10 + -6 Combine like terms: -10 + -6 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16
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