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Simplifying -2x + 45 = 7x + 9 Reorder the terms: 45 + -2x = 7x + 9 Reorder the terms: 45 + -2x = 9 + 7x Solving 45 + -2x = 9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 45 + -2x + -7x = 9 + 7x + -7x Combine like terms: -2x + -7x = -9x 45 + -9x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 45 + -9x = 9 + 0 45 + -9x = 9 Add '-45' to each side of the equation. 45 + -45 + -9x = 9 + -45 Combine like terms: 45 + -45 = 0 0 + -9x = 9 + -45 -9x = 9 + -45 Combine like terms: 9 + -45 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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