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Simplifying 6(x + 9) = -3(x + 45) Reorder the terms: 6(9 + x) = -3(x + 45) (9 * 6 + x * 6) = -3(x + 45) (54 + 6x) = -3(x + 45) Reorder the terms: 54 + 6x = -3(45 + x) 54 + 6x = (45 * -3 + x * -3) 54 + 6x = (-135 + -3x) Solving 54 + 6x = -135 + -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. 54 + 6x + 3x = -135 + -3x + 3x Combine like terms: 6x + 3x = 9x 54 + 9x = -135 + -3x + 3x Combine like terms: -3x + 3x = 0 54 + 9x = -135 + 0 54 + 9x = -135 Add '-54' to each side of the equation. 54 + -54 + 9x = -135 + -54 Combine like terms: 54 + -54 = 0 0 + 9x = -135 + -54 9x = -135 + -54 Combine like terms: -135 + -54 = -189 9x = -189 Divide each side by '9'. x = -21 Simplifying x = -21
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