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Simplifying 54 = 4(1 + -8x) + -2(x + -8) 54 = (1 * 4 + -8x * 4) + -2(x + -8) 54 = (4 + -32x) + -2(x + -8) Reorder the terms: 54 = 4 + -32x + -2(-8 + x) 54 = 4 + -32x + (-8 * -2 + x * -2) 54 = 4 + -32x + (16 + -2x) Reorder the terms: 54 = 4 + 16 + -32x + -2x Combine like terms: 4 + 16 = 20 54 = 20 + -32x + -2x Combine like terms: -32x + -2x = -34x 54 = 20 + -34x Solving 54 = 20 + -34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34x' to each side of the equation. 54 + 34x = 20 + -34x + 34x Combine like terms: -34x + 34x = 0 54 + 34x = 20 + 0 54 + 34x = 20 Add '-54' to each side of the equation. 54 + -54 + 34x = 20 + -54 Combine like terms: 54 + -54 = 0 0 + 34x = 20 + -54 34x = 20 + -54 Combine like terms: 20 + -54 = -34 34x = -34 Divide each side by '34'. x = -1 Simplifying x = -1
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