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Simplifying 54 = 7x + -6(2x + -4) Reorder the terms: 54 = 7x + -6(-4 + 2x) 54 = 7x + (-4 * -6 + 2x * -6) 54 = 7x + (24 + -12x) Reorder the terms: 54 = 24 + 7x + -12x Combine like terms: 7x + -12x = -5x 54 = 24 + -5x Solving 54 = 24 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 54 + 5x = 24 + -5x + 5x Combine like terms: -5x + 5x = 0 54 + 5x = 24 + 0 54 + 5x = 24 Add '-54' to each side of the equation. 54 + -54 + 5x = 24 + -54 Combine like terms: 54 + -54 = 0 0 + 5x = 24 + -54 5x = 24 + -54 Combine like terms: 24 + -54 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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