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Simplifying -1(x + -2) + 7 = -5(x + -6) Reorder the terms: -1(-2 + x) + 7 = -5(x + -6) (-2 * -1 + x * -1) + 7 = -5(x + -6) (2 + -1x) + 7 = -5(x + -6) Reorder the terms: 2 + 7 + -1x = -5(x + -6) Combine like terms: 2 + 7 = 9 9 + -1x = -5(x + -6) Reorder the terms: 9 + -1x = -5(-6 + x) 9 + -1x = (-6 * -5 + x * -5) 9 + -1x = (30 + -5x) Solving 9 + -1x = 30 + -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. 9 + -1x + 5x = 30 + -5x + 5x Combine like terms: -1x + 5x = 4x 9 + 4x = 30 + -5x + 5x Combine like terms: -5x + 5x = 0 9 + 4x = 30 + 0 9 + 4x = 30 Add '-9' to each side of the equation. 9 + -9 + 4x = 30 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 30 + -9 4x = 30 + -9 Combine like terms: 30 + -9 = 21 4x = 21 Divide each side by '4'. x = 5.25 Simplifying x = 5.25
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