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Simplifying 9x + -45 = -9(x + 3) Reorder the terms: -45 + 9x = -9(x + 3) Reorder the terms: -45 + 9x = -9(3 + x) -45 + 9x = (3 * -9 + x * -9) -45 + 9x = (-27 + -9x) Solving -45 + 9x = -27 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -45 + 9x + 9x = -27 + -9x + 9x Combine like terms: 9x + 9x = 18x -45 + 18x = -27 + -9x + 9x Combine like terms: -9x + 9x = 0 -45 + 18x = -27 + 0 -45 + 18x = -27 Add '45' to each side of the equation. -45 + 45 + 18x = -27 + 45 Combine like terms: -45 + 45 = 0 0 + 18x = -27 + 45 18x = -27 + 45 Combine like terms: -27 + 45 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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