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Simplifying 8(x + 4) = 9(x + -4) Reorder the terms: 8(4 + x) = 9(x + -4) (4 * 8 + x * 8) = 9(x + -4) (32 + 8x) = 9(x + -4) Reorder the terms: 32 + 8x = 9(-4 + x) 32 + 8x = (-4 * 9 + x * 9) 32 + 8x = (-36 + 9x) Solving 32 + 8x = -36 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 32 + 8x + -9x = -36 + 9x + -9x Combine like terms: 8x + -9x = -1x 32 + -1x = -36 + 9x + -9x Combine like terms: 9x + -9x = 0 32 + -1x = -36 + 0 32 + -1x = -36 Add '-32' to each side of the equation. 32 + -32 + -1x = -36 + -32 Combine like terms: 32 + -32 = 0 0 + -1x = -36 + -32 -1x = -36 + -32 Combine like terms: -36 + -32 = -68 -1x = -68 Divide each side by '-1'. x = 68 Simplifying x = 68
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