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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 = -54 -4x = -54 Divide each side by '-4'. x = 13.5 Simplifying x = 13.5
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