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Simplifying 54 + -1(2x + 74) = 6 + (8x + -66) Reorder the terms: 54 + -1(74 + 2x) = 6 + (8x + -66) 54 + (74 * -1 + 2x * -1) = 6 + (8x + -66) 54 + (-74 + -2x) = 6 + (8x + -66) Combine like terms: 54 + -74 = -20 -20 + -2x = 6 + (8x + -66) Reorder the terms: -20 + -2x = 6 + (-66 + 8x) Remove parenthesis around (-66 + 8x) -20 + -2x = 6 + -66 + 8x Combine like terms: 6 + -66 = -60 -20 + -2x = -60 + 8x Solving -20 + -2x = -60 + 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. -20 + -2x + -8x = -60 + 8x + -8x Combine like terms: -2x + -8x = -10x -20 + -10x = -60 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + -10x = -60 + 0 -20 + -10x = -60 Add '20' to each side of the equation. -20 + 20 + -10x = -60 + 20 Combine like terms: -20 + 20 = 0 0 + -10x = -60 + 20 -10x = -60 + 20 Combine like terms: -60 + 20 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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