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Simplifying -45 = -6x + -3(-3x + 9) Reorder the terms: -45 = -6x + -3(9 + -3x) -45 = -6x + (9 * -3 + -3x * -3) -45 = -6x + (-27 + 9x) Reorder the terms: -45 = -27 + -6x + 9x Combine like terms: -6x + 9x = 3x -45 = -27 + 3x Solving -45 = -27 + 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. -45 + -3x = -27 + 3x + -3x Combine like terms: 3x + -3x = 0 -45 + -3x = -27 + 0 -45 + -3x = -27 Add '45' to each side of the equation. -45 + 45 + -3x = -27 + 45 Combine like terms: -45 + 45 = 0 0 + -3x = -27 + 45 -3x = -27 + 45 Combine like terms: -27 + 45 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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