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Simplifying 5(x + -9) + 7 = 11 + -1x Reorder the terms: 5(-9 + x) + 7 = 11 + -1x (-9 * 5 + x * 5) + 7 = 11 + -1x (-45 + 5x) + 7 = 11 + -1x Reorder the terms: -45 + 7 + 5x = 11 + -1x Combine like terms: -45 + 7 = -38 -38 + 5x = 11 + -1x Solving -38 + 5x = 11 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -38 + 5x + x = 11 + -1x + x Combine like terms: 5x + x = 6x -38 + 6x = 11 + -1x + x Combine like terms: -1x + x = 0 -38 + 6x = 11 + 0 -38 + 6x = 11 Add '38' to each side of the equation. -38 + 38 + 6x = 11 + 38 Combine like terms: -38 + 38 = 0 0 + 6x = 11 + 38 6x = 11 + 38 Combine like terms: 11 + 38 = 49 6x = 49 Divide each side by '6'. x = 8.166666667 Simplifying x = 8.166666667
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