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Simplifying 7x + -21 = 9x + -45 Reorder the terms: -21 + 7x = 9x + -45 Reorder the terms: -21 + 7x = -45 + 9x Solving -21 + 7x = -45 + 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. -21 + 7x + -9x = -45 + 9x + -9x Combine like terms: 7x + -9x = -2x -21 + -2x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 -21 + -2x = -45 + 0 -21 + -2x = -45 Add '21' to each side of the equation. -21 + 21 + -2x = -45 + 21 Combine like terms: -21 + 21 = 0 0 + -2x = -45 + 21 -2x = -45 + 21 Combine like terms: -45 + 21 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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