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Simplifying 2 + 9(x + -6) = 9 + -8(x + -3) Reorder the terms: 2 + 9(-6 + x) = 9 + -8(x + -3) 2 + (-6 * 9 + x * 9) = 9 + -8(x + -3) 2 + (-54 + 9x) = 9 + -8(x + -3) Combine like terms: 2 + -54 = -52 -52 + 9x = 9 + -8(x + -3) Reorder the terms: -52 + 9x = 9 + -8(-3 + x) -52 + 9x = 9 + (-3 * -8 + x * -8) -52 + 9x = 9 + (24 + -8x) Combine like terms: 9 + 24 = 33 -52 + 9x = 33 + -8x Solving -52 + 9x = 33 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -52 + 9x + 8x = 33 + -8x + 8x Combine like terms: 9x + 8x = 17x -52 + 17x = 33 + -8x + 8x Combine like terms: -8x + 8x = 0 -52 + 17x = 33 + 0 -52 + 17x = 33 Add '52' to each side of the equation. -52 + 52 + 17x = 33 + 52 Combine like terms: -52 + 52 = 0 0 + 17x = 33 + 52 17x = 33 + 52 Combine like terms: 33 + 52 = 85 17x = 85 Divide each side by '17'. x = 5 Simplifying x = 5
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