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Simplifying [6x + -6] = [3 + 2x] Reorder the terms: [-6 + 6x] = [3 + 2x] Remove brackets around [-6 + 6x] -6 + 6x = [3 + 2x] Remove brackets around [3 + 2x] -6 + 6x = 3 + 2x Solving -6 + 6x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 6x + -2x = 3 + 2x + -2x Combine like terms: 6x + -2x = 4x -6 + 4x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 4x = 3 + 0 -6 + 4x = 3 Add '6' to each side of the equation. -6 + 6 + 4x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 3 + 6 4x = 3 + 6 Combine like terms: 3 + 6 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25
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