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Simplifying [5x + -9] = [7x + 12] Reorder the terms: [-9 + 5x] = [7x + 12] Remove brackets around [-9 + 5x] -9 + 5x = [7x + 12] Reorder the terms: -9 + 5x = [12 + 7x] Remove brackets around [12 + 7x] -9 + 5x = 12 + 7x Solving -9 + 5x = 12 + 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 + 5x + -7x = 12 + 7x + -7x Combine like terms: 5x + -7x = -2x -9 + -2x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -2x = 12 + 0 -9 + -2x = 12 Add '9' to each side of the equation. -9 + 9 + -2x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 12 + 9 -2x = 12 + 9 Combine like terms: 12 + 9 = 21 -2x = 21 Divide each side by '-2'. x = -10.5 Simplifying x = -10.5
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