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Simplifying 3x + -4x + 9 = 7x + 75 Reorder the terms: 9 + 3x + -4x = 7x + 75 Combine like terms: 3x + -4x = -1x 9 + -1x = 7x + 75 Reorder the terms: 9 + -1x = 75 + 7x Solving 9 + -1x = 75 + 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 + -1x + -7x = 75 + 7x + -7x Combine like terms: -1x + -7x = -8x 9 + -8x = 75 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + -8x = 75 + 0 9 + -8x = 75 Add '-9' to each side of the equation. 9 + -9 + -8x = 75 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 75 + -9 -8x = 75 + -9 Combine like terms: 75 + -9 = 66 -8x = 66 Divide each side by '-8'. x = -8.25 Simplifying x = -8.25
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