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Simplifying 6x = 45 + -1(-3x + 27) Reorder the terms: 6x = 45 + -1(27 + -3x) 6x = 45 + (27 * -1 + -3x * -1) 6x = 45 + (-27 + 3x) Combine like terms: 45 + -27 = 18 6x = 18 + 3x Solving 6x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6x + -3x = 18 + 3x + -3x Combine like terms: 6x + -3x = 3x 3x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 3x = 18 + 0 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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