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Simplifying 4x + 9 = 7x + 32 Reorder the terms: 9 + 4x = 7x + 32 Reorder the terms: 9 + 4x = 32 + 7x Solving 9 + 4x = 32 + 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. 9 + 4x + -7x = 32 + 7x + -7x Combine like terms: 4x + -7x = -3x 9 + -3x = 32 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + -3x = 32 + 0 9 + -3x = 32 Add '-9' to each side of the equation. 9 + -9 + -3x = 32 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = 32 + -9 -3x = 32 + -9 Combine like terms: 32 + -9 = 23 -3x = 23 Divide each side by '-3'. x = -7.666666667 Simplifying x = -7.666666667
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