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Simplifying 3x = 54 + -1(6x + 45) Reorder the terms: 3x = 54 + -1(45 + 6x) 3x = 54 + (45 * -1 + 6x * -1) 3x = 54 + (-45 + -6x) Combine like terms: 54 + -45 = 9 3x = 9 + -6x Solving 3x = 9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3x + 6x = 9 + -6x + 6x Combine like terms: 3x + 6x = 9x 9x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 9x = 9 + 0 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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