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Simplifying 3x + -45 = 7x + -9 Reorder the terms: -45 + 3x = 7x + -9 Reorder the terms: -45 + 3x = -9 + 7x Solving -45 + 3x = -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 + 3x + -7x = -9 + 7x + -7x Combine like terms: 3x + -7x = -4x -45 + -4x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 -45 + -4x = -9 + 0 -45 + -4x = -9 Add '45' to each side of the equation. -45 + 45 + -4x = -9 + 45 Combine like terms: -45 + 45 = 0 0 + -4x = -9 + 45 -4x = -9 + 45 Combine like terms: -9 + 45 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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