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Simplifying -11 = -5(x + 9) + 6x + 36 Reorder the terms: -11 = -5(9 + x) + 6x + 36 -11 = (9 * -5 + x * -5) + 6x + 36 -11 = (-45 + -5x) + 6x + 36 Reorder the terms: -11 = -45 + 36 + -5x + 6x Combine like terms: -45 + 36 = -9 -11 = -9 + -5x + 6x Combine like terms: -5x + 6x = 1x -11 = -9 + 1x Solving -11 = -9 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -11 + -1x = -9 + 1x + -1x Combine like terms: 1x + -1x = 0 -11 + -1x = -9 + 0 -11 + -1x = -9 Add '11' to each side of the equation. -11 + 11 + -1x = -9 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = -9 + 11 -1x = -9 + 11 Combine like terms: -9 + 11 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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