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Simplifying -3x + -45 = 6(x + 6) Reorder the terms: -45 + -3x = 6(x + 6) Reorder the terms: -45 + -3x = 6(6 + x) -45 + -3x = (6 * 6 + x * 6) -45 + -3x = (36 + 6x) Solving -45 + -3x = 36 + 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. -45 + -3x + -6x = 36 + 6x + -6x Combine like terms: -3x + -6x = -9x -45 + -9x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 -45 + -9x = 36 + 0 -45 + -9x = 36 Add '45' to each side of the equation. -45 + 45 + -9x = 36 + 45 Combine like terms: -45 + 45 = 0 0 + -9x = 36 + 45 -9x = 36 + 45 Combine like terms: 36 + 45 = 81 -9x = 81 Divide each side by '-9'. x = -9 Simplifying x = -9
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