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Simplifying 9 + 9(x + -9) = 9 + -6(x + -1) Reorder the terms: 9 + 9(-9 + x) = 9 + -6(x + -1) 9 + (-9 * 9 + x * 9) = 9 + -6(x + -1) 9 + (-81 + 9x) = 9 + -6(x + -1) Combine like terms: 9 + -81 = -72 -72 + 9x = 9 + -6(x + -1) Reorder the terms: -72 + 9x = 9 + -6(-1 + x) -72 + 9x = 9 + (-1 * -6 + x * -6) -72 + 9x = 9 + (6 + -6x) Combine like terms: 9 + 6 = 15 -72 + 9x = 15 + -6x Solving -72 + 9x = 15 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -72 + 9x + 6x = 15 + -6x + 6x Combine like terms: 9x + 6x = 15x -72 + 15x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 -72 + 15x = 15 + 0 -72 + 15x = 15 Add '72' to each side of the equation. -72 + 72 + 15x = 15 + 72 Combine like terms: -72 + 72 = 0 0 + 15x = 15 + 72 15x = 15 + 72 Combine like terms: 15 + 72 = 87 15x = 87 Divide each side by '15'. x = 5.8 Simplifying x = 5.8
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