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Simplifying 4(x + -9) = 8(x + 4) Reorder the terms: 4(-9 + x) = 8(x + 4) (-9 * 4 + x * 4) = 8(x + 4) (-36 + 4x) = 8(x + 4) Reorder the terms: -36 + 4x = 8(4 + x) -36 + 4x = (4 * 8 + x * 8) -36 + 4x = (32 + 8x) Solving -36 + 4x = 32 + 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. -36 + 4x + -8x = 32 + 8x + -8x Combine like terms: 4x + -8x = -4x -36 + -4x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 -36 + -4x = 32 + 0 -36 + -4x = 32 Add '36' to each side of the equation. -36 + 36 + -4x = 32 + 36 Combine like terms: -36 + 36 = 0 0 + -4x = 32 + 36 -4x = 32 + 36 Combine like terms: 32 + 36 = 68 -4x = 68 Divide each side by '-4'. x = -17 Simplifying x = -17
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