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Simplifying [6x + -1] = [2x + 75] Reorder the terms: [-1 + 6x] = [2x + 75] Remove brackets around [-1 + 6x] -1 + 6x = [2x + 75] Reorder the terms: -1 + 6x = [75 + 2x] Remove brackets around [75 + 2x] -1 + 6x = 75 + 2x Solving -1 + 6x = 75 + 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. -1 + 6x + -2x = 75 + 2x + -2x Combine like terms: 6x + -2x = 4x -1 + 4x = 75 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 4x = 75 + 0 -1 + 4x = 75 Add '1' to each side of the equation. -1 + 1 + 4x = 75 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 75 + 1 4x = 75 + 1 Combine like terms: 75 + 1 = 76 4x = 76 Divide each side by '4'. x = 19 Simplifying x = 19
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