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Simplifying -1(x + 5) + -6 = -9(x + -3) + -2 Reorder the terms: -1(5 + x) + -6 = -9(x + -3) + -2 (5 * -1 + x * -1) + -6 = -9(x + -3) + -2 (-5 + -1x) + -6 = -9(x + -3) + -2 Reorder the terms: -5 + -6 + -1x = -9(x + -3) + -2 Combine like terms: -5 + -6 = -11 -11 + -1x = -9(x + -3) + -2 Reorder the terms: -11 + -1x = -9(-3 + x) + -2 -11 + -1x = (-3 * -9 + x * -9) + -2 -11 + -1x = (27 + -9x) + -2 Reorder the terms: -11 + -1x = 27 + -2 + -9x Combine like terms: 27 + -2 = 25 -11 + -1x = 25 + -9x Solving -11 + -1x = 25 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -11 + -1x + 9x = 25 + -9x + 9x Combine like terms: -1x + 9x = 8x -11 + 8x = 25 + -9x + 9x Combine like terms: -9x + 9x = 0 -11 + 8x = 25 + 0 -11 + 8x = 25 Add '11' to each side of the equation. -11 + 11 + 8x = 25 + 11 Combine like terms: -11 + 11 = 0 0 + 8x = 25 + 11 8x = 25 + 11 Combine like terms: 25 + 11 = 36 8x = 36 Divide each side by '8'. x = 4.5 Simplifying x = 4.5
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