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Simplifying 9 + 8(x + -4) = 4 + -8(x + -4) Reorder the terms: 9 + 8(-4 + x) = 4 + -8(x + -4) 9 + (-4 * 8 + x * 8) = 4 + -8(x + -4) 9 + (-32 + 8x) = 4 + -8(x + -4) Combine like terms: 9 + -32 = -23 -23 + 8x = 4 + -8(x + -4) Reorder the terms: -23 + 8x = 4 + -8(-4 + x) -23 + 8x = 4 + (-4 * -8 + x * -8) -23 + 8x = 4 + (32 + -8x) Combine like terms: 4 + 32 = 36 -23 + 8x = 36 + -8x Solving -23 + 8x = 36 + -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. -23 + 8x + 8x = 36 + -8x + 8x Combine like terms: 8x + 8x = 16x -23 + 16x = 36 + -8x + 8x Combine like terms: -8x + 8x = 0 -23 + 16x = 36 + 0 -23 + 16x = 36 Add '23' to each side of the equation. -23 + 23 + 16x = 36 + 23 Combine like terms: -23 + 23 = 0 0 + 16x = 36 + 23 16x = 36 + 23 Combine like terms: 36 + 23 = 59 16x = 59 Divide each side by '16'. x = 3.6875 Simplifying x = 3.6875
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