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Simplifying 5 + 9(x + -3) = 9 + -6(x + -9) Reorder the terms: 5 + 9(-3 + x) = 9 + -6(x + -9) 5 + (-3 * 9 + x * 9) = 9 + -6(x + -9) 5 + (-27 + 9x) = 9 + -6(x + -9) Combine like terms: 5 + -27 = -22 -22 + 9x = 9 + -6(x + -9) Reorder the terms: -22 + 9x = 9 + -6(-9 + x) -22 + 9x = 9 + (-9 * -6 + x * -6) -22 + 9x = 9 + (54 + -6x) Combine like terms: 9 + 54 = 63 -22 + 9x = 63 + -6x Solving -22 + 9x = 63 + -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. -22 + 9x + 6x = 63 + -6x + 6x Combine like terms: 9x + 6x = 15x -22 + 15x = 63 + -6x + 6x Combine like terms: -6x + 6x = 0 -22 + 15x = 63 + 0 -22 + 15x = 63 Add '22' to each side of the equation. -22 + 22 + 15x = 63 + 22 Combine like terms: -22 + 22 = 0 0 + 15x = 63 + 22 15x = 63 + 22 Combine like terms: 63 + 22 = 85 15x = 85 Divide each side by '15'. x = 5.666666667 Simplifying x = 5.666666667
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