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Simplifying 4 + -8(x + -4) = 8 + -4(x + -9) Reorder the terms: 4 + -8(-4 + x) = 8 + -4(x + -9) 4 + (-4 * -8 + x * -8) = 8 + -4(x + -9) 4 + (32 + -8x) = 8 + -4(x + -9) Combine like terms: 4 + 32 = 36 36 + -8x = 8 + -4(x + -9) Reorder the terms: 36 + -8x = 8 + -4(-9 + x) 36 + -8x = 8 + (-9 * -4 + x * -4) 36 + -8x = 8 + (36 + -4x) Combine like terms: 8 + 36 = 44 36 + -8x = 44 + -4x Solving 36 + -8x = 44 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 36 + -8x + 4x = 44 + -4x + 4x Combine like terms: -8x + 4x = -4x 36 + -4x = 44 + -4x + 4x Combine like terms: -4x + 4x = 0 36 + -4x = 44 + 0 36 + -4x = 44 Add '-36' to each side of the equation. 36 + -36 + -4x = 44 + -36 Combine like terms: 36 + -36 = 0 0 + -4x = 44 + -36 -4x = 44 + -36 Combine like terms: 44 + -36 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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