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Simplifying 54 = 12x + -1(4x + 10) Reorder the terms: 54 = 12x + -1(10 + 4x) 54 = 12x + (10 * -1 + 4x * -1) 54 = 12x + (-10 + -4x) Reorder the terms: 54 = -10 + 12x + -4x Combine like terms: 12x + -4x = 8x 54 = -10 + 8x Solving 54 = -10 + 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. 54 + -8x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 54 + -8x = -10 + 0 54 + -8x = -10 Add '-54' to each side of the equation. 54 + -54 + -8x = -10 + -54 Combine like terms: 54 + -54 = 0 0 + -8x = -10 + -54 -8x = -10 + -54 Combine like terms: -10 + -54 = -64 -8x = -64 Divide each side by '-8'. x = 8 Simplifying x = 8
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