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Simplifying 9 + 8(x + -6) = 1 + -8(x + -3) Reorder the terms: 9 + 8(-6 + x) = 1 + -8(x + -3) 9 + (-6 * 8 + x * 8) = 1 + -8(x + -3) 9 + (-48 + 8x) = 1 + -8(x + -3) Combine like terms: 9 + -48 = -39 -39 + 8x = 1 + -8(x + -3) Reorder the terms: -39 + 8x = 1 + -8(-3 + x) -39 + 8x = 1 + (-3 * -8 + x * -8) -39 + 8x = 1 + (24 + -8x) Combine like terms: 1 + 24 = 25 -39 + 8x = 25 + -8x Solving -39 + 8x = 25 + -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. -39 + 8x + 8x = 25 + -8x + 8x Combine like terms: 8x + 8x = 16x -39 + 16x = 25 + -8x + 8x Combine like terms: -8x + 8x = 0 -39 + 16x = 25 + 0 -39 + 16x = 25 Add '39' to each side of the equation. -39 + 39 + 16x = 25 + 39 Combine like terms: -39 + 39 = 0 0 + 16x = 25 + 39 16x = 25 + 39 Combine like terms: 25 + 39 = 64 16x = 64 Divide each side by '16'. x = 4 Simplifying x = 4
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